The four angles of a quadrilateral are in the ratio 4:5:2:7. find the measures of all the angles

80 : 100: 40: 140

Step-by-step explanation:

The four angles of a quadrilateral add to 360 degrees.

Ratio

4 : 5 : 2: 7

Multiply each by x

4x: 5x : 2x : 7x This total is 360 degrees

4x+5x + 2x+7x = 360

18x = 360

Divide each side by 18

18x/18 = 360/18

x = 20

The angles are

4x: 5x : 2x : 7x

4 (20) : 5 (20) : 2 (20) : 7 (20)

80 : 100: 40: 140