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In the diagram, PTR is a tangent to the centre O. If angles ...

In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN

A.

132^o

B.

126^o

C.

108^o

D.

102^o

View answer & explanation

Correct answer is B

In the diagram; 108° + x + x = 180° (sum of angle in a triangle)

108° + 2x = 180°

x = 180° - 108°

= 72°

x = $\frac{72^o}{2}$

= 36°

(Angle between tangent and a chord through the point of contact)

Hence, angle PTN = 90 + 36

= 126°

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