m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?
1 answer:
<h3>★ <u>Solution:</u></h3>
Since it is given that the two angles are supplementary their sum must be equal to 180 degree
6x + 8 + 12x - 8 = 180°
→ 18x = 180°
→ x = 10°
Now substitute the value of x in the given two measures of angles.
- m∠ABC = 6x + 8 = 68°
- m∠DEF = 12x - 8 = 112°
Therefore the 2 angles are <u>68°</u> and <u>112°</u>
<em>Hope</em><em> </em><em>it</em><em> helps</em><em> </em><em>you </em><em> </em>:)
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