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

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Mathematics WAEC 1998

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

  • 70o
  • 50o
  • 45o
  • 40o checkmark
  • 35o

The correct answer is: 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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