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angles G and H are complementary. if m<G =3x +6 and m<H=2x-11, what is the measure of each angle?

User Nickik
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1 Answer

6 votes
Short Answer: 63 and 27
Comment

complementary means that all angles that are given must add up to 90 degrees to be called complimentary.

Equation
<G + <H = 90

Substitute and Solve
3x + 6 + 2x - 11 = 90 Collect like terms on the left.
5x - 5 = 90 Add 5 to both sides.
5x = 95 Divide by 5
x = 95 / 5
x = 19

One angle is 3(19) + 6 = 57 + 6 = 63
The other angle is 2(19) - 11 = 27

Are they complementary?
Yes 63 + 27 = 90
User Justin Leitgeb
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