Question

Can you find the measure of angle PVQ for 30 points?

Answer 1

First find the measure of x.
12x + 3x = 90
15x = 90
x = 6

Plug in x into ∠PVQ, which is 12x.
12(6) = 72

m∠PVQ = 72°

Answer 2

∠PVQ + ∠QVR = 90° (complementary angles)
⇒ 12x + 3x = 90

12x + 3x = 90

Combine like terms:
15x = 90

Divide both sides by 15:
x = 6

Find ∠PVQ :
∠PVQ = 12x = 12 x 6 = 72°

Answer: ∠PVQ = 72°