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In the figure, PS = RS = QS and QRS = 50°. Find QPR

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Mathematics JAMB 1988

In the figure, PS = RS = QS and QRS = 50°. Find QPR

  • 25O checkmark
  • 40O
  • 50O
  • 65O

The correct answer is: A

Explanation

In the figure PS = RS = QS, they will have equal base QR = RP

In angle SQR, angle S = 50O

In angle QRP, 65 + 65 = 130O

Since RQP = angle RPQ = \(\frac{180 - 130}{2}\)

= \(\frac{50}{2} = 25^o\)

QPR = 25°

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