how to use ratios to find angle measures?

Question

how do I solve this problem?

 

The measure of the angles of triangleABC are in a ratio 1:3:8. What are the angle measure?

 

 

 

Answer 1

Use the following 2 facts  

 

1.)  The sum of the angles of a triangle is 180 degrees  

 

2.)  If 3 numbers are in a ratio 1:3:8 then the 3 numbers are equal to x, 3x and 8x for some (non-zero) value of x