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Find the value of x for which ABCD must be a parallelogram

a. 0
b. 25
c. 4
d. 7

Find the value of x for which ABCD must be a parallelogram a. 0 b. 25 c. 4 d. 7-example-1
User NiFi
by
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1 Answer

15 votes
15 votes

Answer:

d. 7

Explanation:

A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.

Thus:

3x - 17 = 25 - 3x

Add 3x from each side

3x - 17 + 3x = 25 - 3x + 3x

6x - 17 = 25

Add 17 to both sides

6x - 17 + 17 = 25 + 17

6x = 42

Divide both sides by 6

6x/6 = 42/6

x = 7

User Mark Milford
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