SOLUTION: Two angles are said to be complementary if their sum is ninety degrees. Suppose you have two complementary angles such that the second angle is 6 degrees larger than 2 times th

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Question 1112582: Two angles are said to be complementary
if their sum is ninety degrees. Suppose
you have two complementary angles such
that the second angle is 6 degrees larger
than 2 times the measure of the first angle.
Find the angles.

Found 2 solutions by math_helper, Theo:
Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website!

x = first angle
2x+6 = 2nd angle
Write an equation with the sum of the two angles on the left side and 90 on the right side.
Solve for x.
You should find x=28, 2x+6=62
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Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let x = the first angle.
let y = the second

second angle is 6 degrees larger than 2 times the first angle.

equation for that is y = 2x + 6

x + y = 90 because the angles are complementary.

replace y with 2x + 6 and you get:

x + 2x + 6 = 90

subtract 6 from both sides and combine like terms to get:

3x = 84

solve for x to get x = 84/3 = 28 degrees.

y = 2x + 6 = 2 * 28 + 6 = 62

28 + 62 = 90 so the angles are complementary

62 = 2 * 28 + 6 = 56 + 6 = 62

all checks out.

first angle is 28 degrees

second angle is 62 degrees.