#### Answer

Angle 1 = 40 Degrees
Angle 2 = 140 Degrees

#### Work Step by Step

Supplementary Angle = 180
Ratio - 2:7
Add up the total number of parts in ratio (2 + 7 = 9)
Divide the Angle total by the total number of parts in ratio to get the quantity of one part.
180/9 = 20 Degrees
Multiply by the number of parts in each portion of the ratio to get the total of each part of the ratio.
20 x 2 = 40
20 x 7 = 140
Add together all parts of the ratio to check to see if it add ups to the total angle in the problem.
40 + 140 = 180.