SOLUTION: The ratio of two supplementary angles is 2:7.Whats the measure of the smaller angle?

Question 935234: The ratio of two supplementary angles is 2:7.Whats the measure of the smaller angle?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the ratio of 2 supplementary angles is 2:7.
let x = one of the angles.
let (180 - x) = its supplement.
your ratio becomes:
x / (180-x) = 2/7
cross multiply to get:
7x = 2 * (180-x)
simplify to get:
7x = 360 - 2x
add 2x to both sides to get:
9x = 360
divide both sides by 9 to get:
x = 40
the angle is 40 and its supplement is 180 - 40 = 140
check the ratio of the angle to its supplement to confirm.
2/7 = 40/140
cross multiply to get:
2*140 = 7*40
simplify to get:
280 = 280
the ratio is correct.
the angle is 40 and its supplement is 140.

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