An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?

Question

need help with geometry

Answer 1

Let x and y be the two complementary angles. Complementary angles sum to 90°, so:

x + y = 90

One angle - let;'s use angle y - is 14° less than the other angle (x). So:

y = x - 14

Substitute x-14 in place of y in the first equation:

x + y = 90

x + x - 14 = 90

2x - 14 = 90

Solve for x. Once you have the value of x, y = x -14. The units are degrees.