SOLUTION: The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles.

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Question 323897: The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles.
Found 2 solutions by nyc_function, MathTherapy:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = angle
Let (90 - A) = the complement of the angle
A = 2(90 - A)
Can you take it from here?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of an angle is six more than twice the measure of its complement. Find the measures of both angles.

Let angle be A

Then its complement = 90 - A

Now, since the angle is six more than twice the measure of its complement, we'll have:

A = 2(90 - A) + 6

A = 180 - 2A + 6

3A = 186

A = 186%2F3 = 62%5Eo

Therefore, one angle is highlight_green%2862%5Eo%29 and the other is: highlight_green%2828%5Eo%29 ----- 90%5Eo+-+62%5Eo