Equation for arc measure given tangent segments and intercepted arcs.
Check the final answer first, then review the worked steps.
Problem
Equation for arc measure given tangent segments and intercepted arcs.
Step-by-step solution
The angle formed by two tangent segments from an external point to a circle is half the difference of the intercepted arcs. The angle at C is $53^\circ$. The intercepted arcs are $233^\circ$ and $x^\circ$. Thus, $\frac{1}{2}(233 - x) = 53$.
Answer
\frac{1}{2}(233 - x) = 53