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CAN SOME HELP ME WITH THIS PLZ AND THANK U

CAN SOME HELP ME WITH THIS PLZ AND THANK U-example-1
User Dspeyer
by
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1 Answer

5 votes

9514 1404 393

Answer:

d) 15°

e) 36°

f) 39°

g) 126°

Explanation:

Each segment from S to the vertex bisects the angle at the vertex.

∠RPS = ∠RPQ/2 = 30°/2 = 15°

∠PQS = ∠PQR/2 = 72°/2 = 36°

∠PRS = ∠PRQ/2 = 78°/2 = 39°

∠PSR = 180° -∠RPS -∠PRS = 180° -15° -39° = 126°