The angles in a triangle are in the ratio of 5:7:8. Find the measure of each angle.

In a triangle, the three interior angles always add to 180°

5x + 7x + 8x = 180

20x = 180

x = 180/20

x = 9

m∠1 = 5x = 5*9 = 45°

m∠2 = 7x = 7*9 = 63°

m∠3 = 8x = 8*9 = 72°

Answer:

45°, 63° and 72°