The measure of on angle is described as twelve more than four times a number. Its supplement is twice as large. Find the measure of each angle.

Question

This problem is a word problem that I have been stuck on for about 20 minutes and I need help to answer it.

Answer 1

angle 1 = 4x + 12

angle 2 = 2(4x+12) = 8x + 24

 

Since they are supplementary:

 

angle 1 + angle 2 = 180°

4x + 12 + 8x + 24 = 180

12x + 36 = 180

 

Solve for x, then plug the value of x into the angle 1 and angle 2 formulas above to find the measure of each angle.