Question

The measue of the supplement of an angle 20° more than three times the measure of the original angle. Find the measures of the angles.

1. The sum of the measures of the two angles is:​

Answer 1

x = orgininal angle

3x +20 = supplementary angle

1. x + (3x+20) = 180

2. 4x + 20 = 180

3. 4x = 160

4. x = 40

The orginial angle is 40

The supplementary angle is 140

Explanation:

1. define your varibles using the words given

2. add them together to equal 180, because they are supplmentary.

3. combine like terms.

4. subtract 20

5. divide by 4

6. you find x, now plug it back into your variables at the top:

x = 40

3(40) + 20 = 140