Point P is the interior of LaTeX: \angle OZQ.\: ∠ O Z Q . If LaTeX: m\:\angle\:OZQ\: m ∠ O Z Q = 125 and LaTeX: m\angle OZP\: m

Question

3 years ago

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∠ O Z P =62, what is LaTeX: m\angle PZQ m ∠ P Z Q ?

1 answer:

Tanya [424] · Answer 1 · 2022-05-22T00:12:39+03:00

Answer:

Step-by-step explanation:

If Point P is the interior of ∠OZQ, then ∠ O Z P +∠ P Z Q = ∠ O Z Q

Given O Z Q = 125 and m ∠ O Z P =62, to get ∠ P Z Q, substitute the given angles into the formula above as shown;

∠ O Z P +∠ P Z Q = ∠ O Z Q

62 +<em>∠ P Z Q</em> = 125

subtract 62 from both sides

62 +<em>∠ P Z Q</em> - 62= 125 - 62

<em>∠ P Z Q</em> = 63°

<em>Hence the angle ∠ P Z Q is 63°</em>