Question

In the given figure, YZ is a straight line and O is a point on it. OP bisects angle QOY. Angle POQ is twice angle QOZ, what is the degree measure of angle POZ?​

Answer 1

Answer:

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Answer 2

Answer:

∠ POQ= 72°

∠ POY = 72°

∠ QOZ = 36°

And the measure of angle POZ = 108°

Step-by-step explanation:

∠POQ = 2x

∠POY = 2x

∠QOZ = x

= 2x+2x+x = 180°

= 5x= 180°

= x= 180/5=36°

therefore the actual value of x = 36

so 2x = 72

and the sum of the  ∠POZ = 108°

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