Math 7B Unit 3 Study Guide

9. Two supplementary angles have measures mLEFG = 112° and m<GFH = (2n - 12)°. What is the equation to solve for n?
(2n- 12)° +

112° = 180°

To solve for n, we can set up the equation:

2n - 12 + 112 = 180

Combine like terms:

2n + 100 = 180

Subtract 100 from both sides:

2n = 80

Divide both sides by 2:

n = 40

Therefore, the equation to solve for n is 2n - 12 + 112 = 180, and n = 40.