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Sagot :

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°

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