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
——
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.
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