Answer:
a) x=8, b) Option B 36°
Step-by-step explanation:
a) Recall that a straight angle is measured 180°, therefore ∠RPS and ∠QPR are supplementary to each other since they'll add up to 180°, therefore:
m∠RPS + m∠QPR = m∠QPS = 180°
(3x + 12)° + (7x + 88)° = 180°
10x + 100 = 180
10x = 80
x = 8
b) Plug in x=8 into m∠RPS and evaluate:
m∠RPS = (3x + 12)°
m∠RPS = (3(8) + 12)°
m∠RPS = (24 + 12)°
m∠RPS = 36°
