# Find the Angle APB

If PA and PB are two tangents to a circle with center O such that angle AOB = 110 degree , then the angle APB is

1. 900
2. 700
3. 600
4. 550
Manish Listener Asked on 15th June 2015 in

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Explanation:-
Given- AOB = 110
In the figure-

Sum of APB + AOB + PBA + PAB = 360                             (Sum of angles of  a quadrileteral is 360)
APB + 110 + 90 + 90  = 360
APB + 290 = 360
APB = 360 – 290
APB = 70
Hence, the answer is (2) 70.

Anurag Mishra Professor Answered on 17th June 2015.