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

Answer:

∠PZQ = 63°

Step-by-step 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°