Question

m∠QPS=40 ∘ m, angle, Q, P, S, equals, 40, degrees \qquad m \angle RPS = 8x + 7^\circm∠RPS=8x+7 ∘ m, angle, R, P, S, equals, 8, x, plus, 7, degrees \qquad m \angle QPR = 9x + 16^\circm∠QPR=9x+16 ∘ m, angle, Q, P, R, equals, 9, x, plus, 16, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:

Answer 1

Answer:

your answer is this....

Answer 2

The correct formatted question is,

m∠QPS=40°, m∠RPS=8x+7°, m∠QPR=9x+16°. Find m∠QPR.

Consider the attached figure, while going through the following steps:

Given,

∠ QPS = 40°

∠ RPS = 8x + 7°

∠ QPR = 9x + 16°

From figure it's clear that,

∠ QPS = ∠ QPR  + ∠ RPS

40° = 9x + 16° + 8x + 7°

40° = 17x + 23°

17x = 40° - 23°

17x = 17°

∴ x = 1°

Now, we need to find ∠ QPR

∠ QPR = 9x + 16°

= 9 (1°) + 16°

= 9° + 16°

= 25°

∴ ∠ QPR = 25°