The ratio of the angle measures in a quadrilateral is 1:4:5:6 find each angle measure

Measures of each angle are: 22.5, 90, 112.5, and 135

Step-by-step explanation:

The ratio of the angle measures in a quadrilateral is 1:4:5:6

1 + 4 + 5 + 6 = 16

Sum of interior angles of a quadrilateral = 360

360/16 = 22.5

22.5 x 1 = 22.5

22.5 x 4 = 90

22.5 x 5 = 112.5

22.5 x 6 = 135

Ratio 1:4:5:6 = 22.5 : 90: 112.5 : 135

Measures of each angle are: 22.5, 90, 112.5, and 135