#### Answer

Angle 1: 48 Degrees
Angle 2: 72 Degrees
Angle 3: 96 Degrees
Angle 4: 144 Degrees

#### Work Step by Step

Sum of angles = (# of sides - 2)180
4-2 = 360
Add up the total number of parts within the ration 2 + 3 + 4 + 6 = 15
Divide the total number of degrees in the quadrilateral (360) by the total number of parts in the ratio (15)
360/15 = 24 (1 part in the ratio)
Multiply the ratio of one part by the number in each part in the ratio.
24 x 2 = 48 Degrees
24 x 3 = 72 Degrees
24 x 4 = 96 Degrees
24 x 6 = 144 Degrees
Add up all four angles to check to see if they equal the sum of angles in a quadrilateral(360)
48 + 72 + 96 + 144 = 360