Question

In the given figure, find the value of p if

Answer 1

Given:

Angle ACB=40°

To find:

The measure of angle p

Solution:

The measure of angle p is 50°.

We can find the angle by following the steps given below-

We Know that the angle in a segment of a circle is half of the angle at the centre of the circle made by the same chord.

So, angle ACB=1/2 of angle AOB

We are given that the angle ACB=40°.

On putting the value, we get

40°=1/2× angle AOB

40×2=angle AOB

Angle AOB=80°

Now, in triangle AOB, the sum of all the angles is equal to 180°.

Angle OAB=Angle OBA=p°

Angle AOB+p+p=180°

80°+2p=180°

2p=180°-80°

2p=100°

p=100/2

p=50°

Therefore, the measure of angle p is 50°.