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In this figure, PQ = PR = PS and SRT = 68o. Find QPS

Mathematics
JAMB 1991

In this figure, PQ = PR = PS and SRT = 68o. Find QPS
  • A. 136o
  • B. 124o
  • C. 12o
  • D. 68o
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Correct Answer: Option A
Explanation
Since PQRS is quadrilateral 2y + 2x = QPS = 360o

i.e. 2(y + x) + QPS = 360o

QPS = 360o - 2(y + x)

But x + y + 68o = 180o

x + y = 180o - 68o = 180o

x + y = 180o - 68o

= 112o

QPS = 360o - 2(112o)

360o - 224o = 136o

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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