Quick b is in the interior of ∠aoc, m∠aoc = 108°. find m∠aob, if m∠aoc = 3m∠aob.

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°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1