Question

The larger of two complementary angles measures 50° less than 3 times the measure of the smaller. Find the degree measure of larger angle.

Answer 1

55°

Explanation:

Let x represent the measure of the smaller angle. Then the larger angle is ...

3x -50

and the sum of the angles is ...

x + (3x -50) = 90

4x = 140 . . . . . . . . . add 50 and simplify

x = 35 . . . . . . divide by 4 -- the smaller angle

90 -35 = 55 . . . . the larger angle

The larger angle measures 55°.