#### Answer

Angle 1: 40 Degrees
Angle 2: 50 Degrees

#### Work Step by Step

Complimentary Angle = 90 Degrees
Divide total angle by the total number of parts in ratio (4 + 5 = 9)
90/9 = 10
Multiply that by number of parts in each part of the ratio.
10 x 4 = 40
10 x 5 = 50
Add the parts of the ratio to check to make sure it equals the total amount of the angle.
40 + 50 = 90