Question

An angle measures 56.4° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

61.8 and 118.2

Explanation:

Let's call one angle A and the other B. Supplementary angles add to 180, so A+B=180. If B=A+56.4, then we can rewrite the equation in terms of A, or A+(A+56.4)=180 or 2A+56.4=180. To solve, first subtract 56.4 from each side and then divide by 2 to get A=61.8. Since the angle is supplementary, all we need to do to find B is subtract A (61.8) from 180 to get B=118.2.