Question

An angle measures 37.6 degrees less than the measure of its complementary angle. What is the measure of each angle

Answer 1

x = 27.1 y = 62.9 x + y = 90

Explaination:

Let's say you have 2 complimentary angles, x and y

So x + y = 90

if x is 35.8 degrees less than the measure of a complementary angle, then x = y - 35.8

Putting this into our x + y = 90 equation, we get (y - 35.8) + y = 90

2y - 35.8 = 90

2y = 90 + 35.8

2y = 125.8

y = 125.8/2 = 62.9 degrees.

so x = 62.9 - 35.8 = 27.1 degrees.