triangle angles?

Question

the ratio of angles in a triangle is 5:7:8. what are the angle measurements?

Answer 1

Step 1. Setup 5x + 7x + 8x = 180, because there are a total of 180 degrees in a triangle.

Step 2. Simplify 20x = 180

Step 3. Solve for x.    180/20 = 9

 

 

1st angle:   5x = (5*9) = 45 degrees

2nd angle:  7x = (7*9) = 63 degrees

3rd angle:  8x = (8*9) = 72 degrees