SOLUTION: the measures of two angles are in the ratio 4:5 .The larger of the two angles is 60 less than twice the smaller angle.Find the measure of the angle.Are the angles complementary or

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Question 885754: the measures of two angles are in the ratio 4:5 .The larger of the two angles is 60 less than twice the smaller angle.Find the measure of the angle.Are the angles complementary or supplementary?
Answer by basketball1127(19) About Me  (Show Source):
You can put this solution on YOUR website!
Let 4x= measure of smaller angle
5x= measure of larger angle
Then
5x=2(4x)-60°
5x=8x-60°
8x-5x=60°
3x=60°
x=20°
smaller angle = 4x = 4(20°) = 80°
larger angle= 5x = 5(20°) = 100°
100°+80°=180°
Therefore the angles are supplementary