Question

What is the measure of XYZ?

Answer 1

<XYZ = 1/2(86 + 44)

<XYZ = 1/2 (130)

<XYZ = 65

Answer

B. 65

Answer 2

Option B. 65°

Explanation:

By the theorem of intersecting chords of a circle.

∠ XYZ =
`(1)/(2)` [m(arc VM) + m(arc XZ)]

Now by putting values of arc VM and arc XZ, we can get the measure of

∠ XYZ.

∠ XYZ =
`(1)/(2)` [44 + 86]

=
`(1)/(2)` (130)

= 65°

Therefore, The measure of XYZ = 65°, Option B.