In the diagram of circle p, m∠xyz is 72°. what is the value of x?
Asked by maham237 @ in Mathematics viewed by 348 People
108°
144
2160
252
Answered by maham237 @
Answer:
108
Step-by-step 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
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