In the diagram, O is the centre, \(\bar{RT}\) is a diameter, ∠PQT = 33° and...

MATHEMATICS
WAEC 2015

In the diagram, O is the centre, \(\bar{RT}\) is a diameter, ∠PQT = 33° and ∠TOS = 76°. Using the diagram, find the size of angle PRS.

  • A. 76°
  • B. 71°
  • C. 38°
  • D. 33°

Correct Answer: B. 71°

Explanation

In the diagram, < TRS = \(\frac{76^o}{2}\) = 38\(^o\)

Hence, angle PRS = 33\(^o\) + 38\(^o\)

= 71\(^o\)



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