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3 years ago

In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

Mathematics

2 answers:

AURORKA [14]3 years ago

4 0

Answer: the first option

Step-by-step explanation:

Mademuasel [1]3 years ago

3 0

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Measure of arc WZ = 175°

Measure of ∠XAZ = 105°

We need to find the measure of ∠XYZ.

As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.

$\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ$

Hence, the value of ∠XYZ is 35°.

Hence, First Option is correct.

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2 years ago

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