lyannie13oynpyw
lyannie13oynpyw lyannie13oynpyw
  • 24-04-2018
  • Mathematics
contestada

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

Respuesta :

jcherry99
jcherry99 jcherry99
  • 24-04-2018
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 
Answer Link

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