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Find the value of x. Then find the measure of each labeled angle.

Find the value of x. Then find the measure of each labeled angle.-example-1
User Kawtousse
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1 Answer

10 votes

Answer:

x = 70 and the labeled angles are 110 and 70

Explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

User Chibu
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