Question

A pair of Supplementary angles measures (x+2 )0 and (2x+4)0
. Find the measure of angles.

Answer 1

Supplementary angles are angles that when added, = 180

So if x + 2 and 2x + 40 are added, they = 180

x + 2 + 2x + 4 = 180

3x + 6 = 180

Now to isolate x:

subtract 6 from both sides

3x + 6 - 6 = 180 - 6

3x = 174

Divide both sides by 3 to get the value of x

3/3x = 174/3

x = 58

Now plugin x into each equation x + 2 and 2x + 4

x + 2

58 + 2 = 60

2x + 4

2(58) + 4 = 116 + 4 = 120

x + 2 = 60

2x + 4 = 120

Hope it helps :)