Question

question 6 of 10
what is the measure of ∠2?
a. 128°
b. 142°
c. 52°
d. 38°

Explanation:

Step1: Recall angle - arc relationship

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

Step2: Identify the intercepted arc

The inscribed angle ∠2 intercepts arc XZ. The central angle ∠XVZ = 104°. The measure of arc XZ is 104°.

Step3: Calculate the measure of ∠2

Since the measure of an inscribed angle is half the measure of its intercepted arc, if the measure of arc XZ is 104°, then the measure of ∠2 is $\frac{104^{\circ}}{2}=52^{\circ}$.

Answer:

C. 52°