SOLUTION: If angle g and angle h are supplementary and measure for angle is 4 times measure for angle h, what are the measures of angle g and h?

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Question 1018294: If angle g and angle h are supplementary and measure for angle is 4 times measure for angle h, what are the measures of angle g and h?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Simply substitute. Solve for h first.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
If angle G and angle H are supplementary and measure for angle is 4 times measure for angle H, what are the measures of angle G and H?
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Let m be the measure of angle H, in degrees
Then the measure for angle G is 4m in degrees, according to the condition.

Supplementary angles sum up to 180°. It gives you an equation

m + 4m = 180.

Simplify and solve:

5m = 180.

m =  = 36.

Answer. The measure of angle H is 36°. The measure of angle G is 144°.


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