find the measure of 2 complementary angles

Question

two angles are complementary angles if their sum is equal to 90°. if the measure of the larger angle is 14° more than three times the measure of the smaller angle, find the measure of the two angles

Answer 1

Let x = the measure of the smaller angle

Let 3x + 14 = the measure of the larger angle

x + 3x + 14 = 90

4x = 76

x = 19°

3(19) + 14 = 71°