SOLUTION: Angles 4,5, and 6 equal 180 degrees, and the ratio is 2:5:3. Find the measure of each angle.

Algebra ->  Triangles -> SOLUTION: Angles 4,5, and 6 equal 180 degrees, and the ratio is 2:5:3. Find the measure of each angle.      Log On


   

Question 775719: Angles 4,5, and 6 equal 180 degrees, and the ratio is 2:5:3. Find the measure of each angle.
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles be A%5B1%5D, A%5B2%5D and A%5B3%5D.

A%5B1%5D+%2B+A%5B2%5D+%2B+A%5B3%5D+=+180

Also, A%5B1%5D%3AA%5B2%5D%3AA%5B3%5D::2%3A5%3A3

A%5B1%5D+=+%28180%2F%282%2B5%2B3%29%29%2A2=36
A%5B2%5D+=+%28180%2F%282%2B5%2B3%29%29%2A5=90
A%5B3%5D+=+%28180%2F%282%2B5%2B3%29%29%2A3=54