SOLUTION: The ratio of the measures of two complementary angles is 7 to 11. Write and solve an equation to find the measure of each angle.

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Question 1067417: The ratio of the measures of two complementary angles is 7 to 11.
Write and solve an equation to find the measure of each angle.

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
7:11 is ratio. In terms of multiples of x they are 7x:11x
add them and the sum is 18x
Complementary angles add to 90
18*5=90, so it is the ratio of 7:11 multiplied by 5. That will be the angles, and they will add to 90
35:55
35 degrees
55 degrees

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

The ratio of the measures of two complementary angles is 7 to 11.
Write and solve an equation to find the measure of each angle.

Let multiplicative factor be x
Then smaller and larger angles = 7x and 11x, respectively
Equation you want:
Solve to find x, and then use that value to determine the smaller and larger angles.