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3 months ago

Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?

Mathematics

1 answer:

tester [12.3K]3 months ago

3 0

Response:

63°

Detailed explanation:

If point P lies within ∠OZQ, it holds that ∠OZQ equals the sum of ∠OZP and ∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, we can find m∠PZQ by substituting the known angle values into the aforementioned equation as illustrated;

∠OZQ = ∠OZP + ∠PZQ.

125 = 62 + ∠PZQ.

We subtract 62 from each side;

125 - 62 = 62 + ∠PZQ - 62

63 = ∠PZQ

Thus, the angle m∠PZQ measures 63°

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