Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(6x+10)^{\circ}∠A=(6x+10)

∘
and m\angle B=(4x+30)^{\circ}∠B=(4x+30)
∘
, then find the measure of \angle B∠B.


If u give answer ill give 100 points NOT FAKE PLS I NEED HELP

Answer 1

86 Degrees

Explanation:

First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.

As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.

Now we are given two equations for the measure of each angle.

measure of A = 6x+10

measure of B = 4x+30

We simply plug this into the first equation I've stated above.

6x+10 + 4x+30 = 180

Simplify

10x+40 = 180
10x = 140
x = 14

Now that we have X, we plug this into the measure B equation to get the measure.

4x + 30
(Plug 14)
4(14) + 30

56 + 30

86 Degrees