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If EFGH is a parallelogram, what is the value of x?F(4-2)340HGA. 82B. 30.5cC. 36D. 37E. 34F. 9

If EFGH is a parallelogram, what is the value of x?F(4-2)340HGA. 82B. 30.5cC. 36D-example-1
User Steveukx
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1 Answer

6 votes
6 votes

x = 36° (option C)

Step-by-step explanation:

The adjacent angles in a parallelogram are supplementary. This means the sum of the angles is equal to 180 degrees

The adjacent angles in this paralllelogram are (4x + 2)° and 34°

(4x + 2)° + 34° = 180°

4x + 2 + 34 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

Divide both sides by 4:

4x/4 = 144/4

x = 36° (option C)

User Matt Stauffer
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