Question

What’s the measure of angle RPS

Answer 1

34⁰

Explanation:

QPS = QPR + RPS

68 = 5x + 24 + 9x + 16

14x = 68 - 40

14 x = 28

x = 2

RPS = 5(2) + 24 = 10 + 24 = 34⁰

Answer 2

34

Explanation:

We know the large angle is the sum of the two smaller angles

QPS = QPR + RPS

Substituting the given information

68 = 9x+16 + 5x+24

Combine like terms

68 = 14x+40

Subtract 40 from each side

68-40 = 14x+40-40

28 = 14x

Divide each side by 14

28/14=14x/14

2 = x

We want to find angle RPS

RPS = 5x+24

= 5(2) +24

=10+24

= 34