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In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35°. Find ∠QPR

Mathematics
WAEC 1998

In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35°. Find ∠QPR

  • A. 70o
  • B. 50o
  • C. 45o
  • D. 40o
  • E. 35o
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Correct Answer: Option D
Explanation

In the diagram above,

α = 35º ( base angles of isosceles triangle)

< PRQ = 35º + 35º = 70º ( sum of opp. interior angles)

< QPR = 180º - ( 70 + 70)º = 40º

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