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

Mathematics WAEC 2015

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

  • 76o
  • 71o checkmark
  • 38o
  • 33o

The correct answer is: B

Explanation

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

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

= 71\(^o\)

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