Question

PLEASE HELP QUICK !!!!!!Point B is in the interior of ∠AOC, m∠AOC = 108°. Find m∠AOB, if m∠AOC = 3m∠AOB.

Answer 1

Answer: The measure of ∠AOB = 36°.

Explanation:

Since we have given that

m∠AOC = 108°

and we need to find the measure of ∠AOB.

As we know that

`m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\(108)/(3)=\angle AOB\\\\36^\circ=\angle AOB`

Hence, the measure of ∠AOB = 36°.

Answer 2

The measure of angle AOB is 36°

Explanation:

- Point B is in the interior of ∠AOC

- That means angle AOB is a part of angle AOC

- Measure of angle AOC is 108°

- Measure of angle AOC is 3 times measure of angle AOB

- We need to find measure of angle AOB

* Lets solve the problem

∵ m∠ AOC = 3 m∠ AOB

∵ m∠ AOC = 108°

- Substitute m ∠AOC in the equation above

∴ 108 = 3 m∠ AOB

- Divided both sides by 3

∴ 36° = m∠ AOB

The measure of angle AOB is 36°