Question

In the figure, if angle APB = 40°, then find the measure of angle AOB.

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Answer 1

Answer:

angle AOB =80° by theorem which states that corresponding angle are double .

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Answer 2

Answer:

80°

Step-by-step explanation:

The solution of the given problem is based on the theorem,states that

"The angle subtended by an arc at the center of a circle is double that of the angle that the arc subtends at any other given point on the circle. "

Here in the given figure AB is chord and it subtends angle angle APB =40° at any other given point on the circle.

So, angle AOB= 80°

hope it helps you.