Question

question 1 of 10 what is the measure of ∠rst? 143° 33° a. 88° b. 143° c. 33° d. 176°

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify the intercepted arc

The inscribed angle \(\angle{RST}\) intercepts arc \(RT\). The measure of arc \(RT\) is given as \(33^{\circ}\).

Step3: Calculate the measure of \(\angle{RST}\)

By the inscribed - angle theorem, \(m\angle{RST}=\frac{1}{2}\text{ measure of arc }RT\). Since the measure of arc \(RT = 33^{\circ}\), then \(m\angle{RST}=33^{\circ}\).

Answer:

C. 33°