SOLUTION: Find the measure of an angle if its measure is 12 degrees less than 5 times the measure of its complement.

Algebra ->  Angles -> SOLUTION: Find the measure of an angle if its measure is 12 degrees less than 5 times the measure of its complement.      Log On


   

Question 581086: Find the measure of an angle if its measure is 12 degrees less than 5 times the measure of its complement.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"Find the measure of an angle if its measure is 12 degrees less than 5 times the measure of its complement."

x = measure of angle
90 - x = measure of complement {complementary angles add up to 90°}

x = 5(90 - x) - 12 {its measure is 12 less than 5 times complement}
x = 450 - 5x - 12 {used distributive property}
x = 438 - 5x {combined like terms}
6x = 438 {added 5x to both sides}
x = 73 {divided both sides by 6}
the angle is 73°

For more help from me, visit: www.algebrahouse.com