Question

Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?

°

Answer 1

24

Explanation:

If two angles are supplementary, they add up to 180.

Let's say m∠A = a and m∠B = b.

`a=5(b+7.2)`

`a= 5b + 36`

`a-5b = 36`

We also still have
`a+b=180`

`a-5b=36\\a+b=180`

Subtract,

`-6b=-144`

`b=24`