The measure of an angle formed by a tangent and a chord is half the measure of the...

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Problem

The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc.

Step-by-step solution

The angle formed by a tangent and a chord is half the measure of the intercepted arc. Therefore, the measure of arc YZ is twice the measure of angle XYZ.

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Answer

$162^{\circ}$