Question

In the diagram of circle P, m XYZ is 72°. What is the value

of x?

108°
144
2160
252

Answer 1

Answer: 108

Explanation:

edge

Answer 2

108

Explanation:

The tangent- tangent angle XYZ is

∠XYZ = 0.5( arc ZX - arc XZ), that is

72 = 0.5(360 - x - x)

72 = 0.5(360 - 2x) = 180 - x ( add x to both sides )

72 + x = 180 ( subtract 72 from both sides )

x = 108