M∠GHI=3x° and m∠LMN=17x°. If ∠GHI and ∠LMN are supplementary, what is the measure of each angle?

Step-by-step explanation:

"Supplementary" means that the angles add up to 180°

So we can create an equation 3x + 17x = 180

Combine like terms.

20x = 180

Divide both sides by 20

20x/20 = 180/20

x = 9

So we found x, but that's not what they asked for; they asked for the angles so we put that x = 9 back in the given angle measures.

Angle GHI= 3x=3(9)=27

Angle GHI = 27°

Either find Angle LMN by also substituting in x = 9 OR subtract 180 - 27 to find it (should come out the same either way)

Angle LMN=17x=17(9)=153

Angle LMN = 153°

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step-by-step explanation:

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