Question

If the measure of angle AOB is 40 degrees what is the measure of angle ACB in a circle

Answer 1

<ACB = 20°

Explanation:

Given:

Measure of angle AOB = 40°

The measure of angle ACB = ½AOB

This could be explained as the angle at the circumference of a circle equals ½ the angle at the centre of the circle because they can be said to be on the same arc.

Here the angle at the circumference, <ACB is ½ half the angle at the centre of the circle, <AOB.

It can be expressed as:

<ACB = ½<AOB

Where,

<AOB = 40°

<ACB = ½ * 40°

<ACB = 20°

Measure of angle ACB = 20°

The diagram is attached