Answer:
The measure of angle AOB is 36°
Step-by-step 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°
Answer: The measure of ∠AOB = 36°.
Step-by-step explanation:
Since we have given that
m∠AOC = 108°
and we need to find the measure of ∠AOB.
As we know that
[tex]m\angle AOC=3m\angle AOB\\\\108=3\angle AOB\\\\\dfrac{108}{3}=\angle AOB\\\\36^\circ=\angle AOB[/tex]
Hence, the measure of ∠AOB = 36°.
