Question

in figure, if angle
AOB=60° , then angle ACB is equal to ​

Answer 1

Answer:

Your question is incomplete

Answer 2

Question:

In the figure, O is the center of the circle. If angle AOB=60°, then angle ACB is equal to?

The figure is pasted below.

Concept:

Theorems of the circle.

We will use Angle subtended by an arc of a circle.

According to this theorem, the angle subtended by an arc of a circle at the center of the circle is double the angle subtended by it on the circumference of the circle.

Answer:

∠ACB = 30°

Given:

O is the center of the circle.

∠AOB = 60°    

Find:

The value of ∠ACB.

Solution:

According to the angle subtended by an arc of a circle theorem, we have

∠AOB = 2∠ACB

∴ ∠ACB = ∠AOB/2

              = 60°/2

              = 30°

Hence, the value of ∠ACB is 30°.

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