Question

∠A and \angle ∠B are supplementary angles. If m\angle A=(3x-23)^{\circ}∠A=(3x−23)

∘
and m\angle B=(2x-12)

∘
, then find the measure of \angle ∠B.

Answer 1

`B = 74`

Step-by-step explanation:

Given

`A=(3x-23)`

`B=(2x-12)`

Required

Find B

Since A and B are supplementary, then:

`A + B = 180`

Substitute values for A and B

`3x - 23 + 2x - 12 = 180`

Collect Like Terms

`3x + 2x = 180 + 23 + 12`

`5x = 215`

Divide through by 5

`(5x = 215)/(5)`

`x = 43`

Substitute 43 for x in
`B=(2x-12)`

`B = 2*43 - 12`

`B = 74`