what is m∠utv? write your answer as an integer or decimal. m∠utv =
what is m∠utv? write your answer as an integer or decimal. m∠utv =
Answer
Explanation:
Step1: Recall the inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc. The central angle $\angle TWV = 63^{\circ}$, and the inscribed angle $\angle UTV$ intercepts the same arc $\overset{\frown}{UV}$.
Step2: Calculate the measure of $\angle UTV$
By the inscribed - angle theorem, $m\angle UTV=\frac{1}{2}m\angle TWV$. Since $m\angle TWV = 63^{\circ}$, then $m\angle UTV=\frac{63^{\circ}}{2}=31.5^{\circ}$.
Answer:
$31.5$