Help? Show work! m∠ABC=(6x+8)° and m∠DEF=(12x-8)°.
If ∠ABC and ∠DEF are supplementary, what
is the measure of each angle?

m∠ABC = 68°

m∠DEF = 112°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (they form a straight line).

If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:

Combine like terms.

Divide both sides by 18.

Find the measure of each angle by substituting 10 for x into both expressions for the angles.

m∠ABC = (6x + 8)°

m∠DEF = (12x - 8)°

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step-by-step explanation:

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