Question

Given:

m∠QPS is a straight angle.
m∠RPS = 6x+11∘
m∠QPR=7x+143∘

Find angle RPS

Answer 1

Explanation:

∠RPS + ∠QPR = ∠QPS

6x + 11 + 7x + 143 = 180

6x + 7x + 11 + 143 = 180

13x + 154 = 180

13x = 180 - 154

13x = 26

x = 26/13

x = 2

∠RPS = 6x + 11

= 6*2 + 11

= 12 + 11

= 23