An angle measures 17.2° less than the measure of its complementary angle. What is the measure of each angle?

Question

It is a hard questin i cant even answer

Answer 1

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

So x + y = 90

if x is 17.2 degrees less than the measure of a complementary angle, then x = y - 17.2

Putting this into our x + y = 90 equation, we get

(y - 17.2) + y = 90

2y - 17.2 = 90

2y = 90 + 17.2

2y = 107.2

y = 107.2/2 = 53.6 degrees.

so x = 53.6 - 17.2 = 36.4 degrees.