Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x, 10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x = 7.5

Each angle is

6x = 6 (7.5) = 45

8x = 8 (7.5) = 60

10x = 10*7.5 = 75