SOLUTION: I'm getting really confused about this problem; and I keep redoing it but it just doesn't seem to be right. Please Help! Please help me solve this equation:" The measure of an angl

Algebra ->  Angles -> SOLUTION: I'm getting really confused about this problem; and I keep redoing it but it just doesn't seem to be right. Please Help! Please help me solve this equation:" The measure of an angl      Log On


   

Question 898079: I'm getting really confused about this problem; and I keep redoing it but it just doesn't seem to be right. Please Help! Please help me solve this equation:" The measure of an angle is five times the measure of its complement. Find the original angle." Thank you in advance for your help!
Answer by KMST(5347) About Me  (Show Source):
You can put this solution on YOUR website!
If the measures are angle%7D%7D+and+%7B%7B%7Bcomplement, in degrees,
angle%2Bcomplement=90 <--> complement=90-angle
The problem says that angle=5%2Acomplement , so
angle=5%2A%2890-angle%29
angle=5%2A90-5%2Aangle%29
angle=450-5%2Aangle%29
angle%2B5%2Aangle=450%29

The original angle measures highlight%2875%5Eo%29 ,
and that is 5 times the measure of its complement,
which is 90%5Eo-75%5Eo=15%5Eo .