what is m∠tsu? write your answer as an integer or decimal. m∠tsu =
what is m∠tsu? write your answer as an integer or decimal. m∠tsu =
Answer
Explanation:
Step1: Find the central - angle of arc TU
The sum of the central - angles of a circle is 360°. Given two central - angles 129° and 133°, the central - angle of arc TU is $360-(129 + 133)=360 - 262=98^{\circ}$.
Step2: Use the inscribed - angle theorem
The measure of an inscribed angle is half the measure of its intercepted arc. $\angle TSU$ is an inscribed angle and arc TU is its intercepted arc. So, $m\angle TSU=\frac{1}{2}\times$ (measure of arc TU). Since the measure of arc TU is 98°, then $m\angle TSU=\frac{98}{2}=49^{\circ}$.
Answer:
49