Question

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

Answer 1

Answer:

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