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 each angle. Are the angles complementary?
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Question 885815: 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 each angle. Are the angles complementary? Supplementary? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! 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 each angle. Are the angles complementary? Supplementary?
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let x=smaller angle
y=larger angle
x/y=4/5
x=(4/5)y
..
y=2x-60
y=(8/5)y-60
5y=8y-300
3y=300
y=100
x=(4/5)y=80
smaller angle=80
larger angle=100
angles are supplementary