Two angles are complementary. The sum of the measures of the larger angle and three times the measure of the smaller angle is 114. What is the measure of each angle?

Answer 1

A + B = 90º (complementary)

Then A = 90º - B

A + 3B = 114º

Substitute 90º-B for e in second equation and solve for B. Insert that value into the first equation and solve for A. Check by inserting both values into the second equation.