Answer:
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
