what is m∠tvu? write your answer as an integer or decimal. m∠tvu =
what is m∠tvu? write your answer as an integer or decimal. m∠tvu =
Answer
Explanation:
Step1: Find the measure of arc TU
The sum of the central - angles of a circle is 360°. Given two central angles 126° and 121°, the measure of arc TU is $360-(126 + 121)=360 - 247=113^{\circ}$.
Step2: Use the inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc. $\angle TVU$ is an inscribed angle that intercepts arc TU. So, $m\angle TVU=\frac{1}{2}\text{ measure of arc }TU$. $m\angle TVU=\frac{1}{2}\times113 = 56.5^{\circ}$
Answer:
$56.5$