what is m∠sut? write your answer as an integer or decimal. m∠sut = °
what is m∠sut? write your answer as an integer or decimal. m∠sut = °
Answer
Explanation:
Step1: Recall inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc. The central angle $\angle SVT$ and the inscribed angle $\angle SUT$ intercept the same arc $\overset{\frown}{ST}$.
Step2: Apply the theorem
Given $\angle SVT = 64^{\circ}$, and since $\angle SUT=\frac{1}{2}\angle SVT$ (by the inscribed - angle theorem where the central angle is the angle with its vertex at the center of the circle and the inscribed angle has its vertex on the circle), we have $\angle SUT=\frac{64^{\circ}}{2}$.
Answer:
$32$