SOLUTION: Set up an equation for each problem, then solve for x. Use your answer for x to find the angle measures for the problem. Problem: The complement of an angle is five times the me

Algebra ->  Angles -> SOLUTION: Set up an equation for each problem, then solve for x. Use your answer for x to find the angle measures for the problem. Problem: The complement of an angle is five times the me      Log On


   



Question 97263: Set up an equation for each problem, then solve for x. Use your answer for x to find the angle measures for the problem.
Problem: The complement of an angle is five times the measure of the angle itself. Find the angle and its complement

Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle be x
Given the complementary angle is 5 times the measure of the angle itself
Complementary angle = 5x
also , the sum of angle and it's complement = 90 degrees
=> x+ 5x =90 degrees
6x = 90 degrees
x = 90/6 =15 degrees
therefore the complement is 5*x = 5*15 = 75 degrees
Measure of the angle = 15 degrees
Measure of it's complement = 75 degrees