SOLUTION: Two angles are complementary. The measure of one of the angles is 10 degrees more than three times the measure of the other.Find the measure of each angle.

Question 224173: Two angles are complementary. The measure of one of the angles is 10 degrees more than three times the measure of the other.Find the measure of each angle.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Two angles are complementary. The measure of one of the angles is 10 degrees more than three times the measure of the other.Find the measure of each angle.
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When two angles are "complementary" -- the sum of the two angles equals 90 degrees.
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Let x = second angle
then from "The measure of one of the angles is 10 degrees more than three times the measure of the other." we get:
3x+10 = first angle
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Because: "the sum of the two angles equals 90 degrees." we get our equation:
x + (3x+10) = 90
4x+10 = 90
4x = 80
x = 20 (second angle)
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First angle:
3x+10 = 3(20)+10 = 60+10 = 70 (first angle)
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Answer: 70 deg and 20 deg

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