Question

The measures of the angles of △DEF are in the ratio 2:4:4. What are the measures of the angles?

The measures of the angles of △XYZ are in the ratio 4:5:6. What are the measures of the angles?

Answer 1

A) 18

B) 48 , 60 and 72

Explanation:

A) since the angles are in ratio 2:4:4 there is a constant proportionality that we call k. So the angles can be represented by 2k,4k and 4k. That means 2k + 4k + 4k = 180. K=18

B) The angles would add up to 180 as a general rule, make x the multiplier and

4x+5x+6x=180

15x=180

X=12

Then

4(12)=5(12)+6(12)=180

48, 60 and 72