Question

M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘

Answer 1

The correct question is:

$\angle QPS=88$  

$\angle RPS=5x+34$

$\angle QPR=8x+15$.

Find ∠QPR.

Answer:

$\angle QPR = 39$

Step-by-step explanation:

From the attached figure:

$QPS = QPR + RPS$

This gives:

$88 = 8x + 15 + 5x + 34$

Collect like terms

$88 - 15 - 34 = 8x + 5x$

$39 = 13x$

Divide both sides by 13

$3 = x$

$x =3$

Substitute $x =3$ in $\angle QPR=8x+15$  

$\angle QPR = 8 * 3 + 15$

$\angle QPR = 24 + 15$

$\angle QPR = 39$