In the diagram below, two lines tangent to a circle from an external point form an...
Check the final answer first, then review the worked steps.
Check the final answer first, then review the worked steps.
The angle formed by the tangents is $72^\circ$. The measure of the intercepted minor arc ADC is $360^\circ - 2 \times 72^\circ = 216^\circ$. The measure of arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of arc ADC is $360^\circ - 108^\circ = 252^\circ$. Wait, the question asks for arc ADC. The angle $108^\circ$ is the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. However, the diagram shows $108^\circ$ as the arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc AC is $180^\circ - 72^\circ = 108^\circ$. The measure of the major arc ADC is $360^\circ - 108^\circ = 252^\circ$. The diagram shows $108^\circ$ as the measure of arc AC. The angle formed by the tangents is $72^\circ$. The sum of the angle formed by the tangents and the intercepted minor arc is $180^\circ$. So, the minor arc