Question

What is the measure of an angle if it is 180 less than 5 times its own supplement?

Answer 1

Complementary angles add up to 90 degrees. Let A = the angle, then 90 - A is its complement
So we can write A = 5(90-A) - 180 [180 LESS than 5 times its complement]
Solve for A:
A = 450 - 5A - 180
6A = 270
A = 45
Ans: 45 degrees
Check: 45 ?= 5*45 - 180 = 225 - 180 = 45
I think this is the answer for your question.