miksyme
miksyme miksyme
  • 16-01-2022
  • Mathematics
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Find angle <QPS in the diagram​

Find angle ltQPS in the diagram class=

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JennyTheBest813
JennyTheBest813 JennyTheBest813
  • 16-01-2022

Answer:

40°

Step-by-step explanation:

Because triangle QSR is isosceles ∠SQR=∠SRQ=35°. The sum of the angles in a triangle is 180°, so ∠QSR=180°-35°-35°=110°. The measure of a straight line is 180°, so ∠PSQ=180°-110°=70°. Because triangle PSQ is also isosceles ∠PSQ=∠PQS=70°. Then, ∠QPS=180°-70°-70°=40°.

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