Question

What’s the measure of angle XYZ?

Answer 1

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

m∠XYZ = 68/2 = 34°

Answer 2

Option B 34° is the answer.

Explanation:

From the inscribed angle theorem, the measure of an inscribed angle is half of the intercepted arc.

Here intercepted arc is xz = 68° and inscibed angle is ∠xyz.

Therefore, by theorem,

∠xyz =
`(1)/(2)`m(xz)

∠xyz =
`(1)/(2)` (68)°

∠xyz = 34°

Option B 34° is the answer.