Question

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

Answer 1

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.