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Question

From a point P, two tangents PA and PB are drawn to a circle with center O as shown.
If angle AOB = 100, then find the value of  APB. 

 



Your Answer
A

40

Your Answer
B

60

Correct Answer
C

80

Your Answer
D

90


Solution

The correct option is D

80


As a tangent is perpendicular to the radius through the point of contact,

PAO = PBO =  90.

The sum of all angles in a quadrilateral is  360.

So, APB = 360 – 100 - 90- 90 =  80.

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