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 PZQm ∠ P Z Q?

Answer 1

∠PZQ = 63°

Explanation:

If point P is the interior of ∠OZQ , then the mathematical operation is true;

∠OZP + ∠PZQ = ∠OZQ

Given parameters

∠OZQ = 125°

∠OZP = 62°

Required

∠PZQ

TO get ∠PZQ, we will substitute the given parameters into the expression above as shown

∠OZP + ∠PZQ = ∠OZQ

62° + ∠PZQ = 125°

subtract 62° from both sides

62° + ∠PZQ - 62° = 125° - 62°

∠PZQ = 125° - 62°

∠PZQ = 63°

Hence the value of ∠PZQ is 63°