SOLUTION: Angles G and H are complementary. If {{{m<G=3x+6 and m<H=2x-11}}}, what is the measure of each angle?

Question 119138: Angles G and H are complementary. If , what is the measure of each angle?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since they are complementary, the angles add to 90 ie

So

Combine like terms on the left side

Add 5 to both sides

Combine like terms on the right side

Divide both sides by 5 to isolate x

Divide

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Answer:
So the value of x is

Start with the first angle

Plug in

Multiply

Add

So the first angle is

--------

Start with the second angle

Plug in

Multiply

Subtract

So the second angle is

So our two angles are and
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