Question

Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)​

Answer 1

85⁰ and 95⁰

Explanation:

Supplementary angle add up to 180⁰

8x-3+7x+18=180

8x+7x-3+18=180

15x+15=180

15x=180-15

15x=165

15x/15=165/15

x=165/15

x=11⁰

measure of first angle=8(11⁰)-3

=88⁰-3

=85⁰

measure of second angle=7(11⁰)+18

=77⁰+18

=95⁰

Answer 2

The measures of the angles are 85 and 95 degrees each.

Explanation:

Two angles are supplementary when they add up to 180 degrees.

Therefore, set up an equation and solve for the variable x in the first place.

(8x-3)+(7x+18)=180

8x-3+7x+18=180

8x+7x-3+18=180

15x-3+18=180

15x+15=180

15x=165

x=165/15

x=11

Angle 8x-3=8(11)-3=88-3=85.

Angle 7x+18=7(11)+18=77+18=95.