Question

O is the centre of the circle and AB is a chord of the circle .If angle AOB=110 ,Find angle APB

Answer 1

Given = O is the center of the circle and AB is chord AOB =110
Find APB??
solution = AOB = 110
therefore 2Angle APB = AOB since angle at the center is double the angle at the circumference standing on same segment.
2APB =110
APB=110/2
=55

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Answer 2

Given:

O is the center of the circle

AB is the chord

∠AOB = 110°

To Find:

∠APB

Solution:

Since the angle at the center is double the angle at the circumference on the same segment.

    2∠APB = AOB

    2∠APB = 110

      ∠APB = 110/2

                 = 55

  ∠APB = 55°

Therefore, the value of ∠APB is 55°.