Question

Angles 1 and 2 are supplementary.

• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦


What is the measure of angle 2?

Answer 1

1 = 157°

2 = 23°

Explanation:

• because the angles are supplementary, their angles will add up to 180°
• set up the equation (2x-3)+(-5x+423)=180
• combine like terms to get -3x+420=180
• subtract 420 from 180 to get -3x=-240
• divide by three and get x=80
• now plug in 80 for x in both equations