angelicagarcia41694 angelicagarcia41694
  • 15-05-2020
  • Mathematics
contestada

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

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Chrisnando
Chrisnando Chrisnando
  • 20-05-2020

Answer:

<ACB = 20°

Step-by-step 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

Ver imagen Chrisnando
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