Question

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

Answer 1

63°

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 +∠ P Z Q = 125

subtract 62 from both sides

62 +∠ P Z Q - 62= 125 - 62

∠ P Z Q = 63°

Hence the angle ∠ P Z Q is 63°