HildeK3066 HildeK3066

04-11-2022
Mathematics

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Question 3 of 10 What is the measure of ZXYZ shown in the diagram below? S 36° T 114" N O A. 39 B. 75° C. 36 D. 78

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RylandQ89841 RylandQ89841

04-11-2022

Using the formula for an angle formed by two secants, we have:

∠XYZ = 1/2*(m arc XZ - m arc TS)

∠XYZ = 1/2*(114° - 36°) (Replacing)

∠XYZ = 1/2*(78° ) (Subtracting)

∠XYZ = 39° (Multiplying by the fraction)

The answer is the option A.

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