Find values in x and y for which ABCD must be a parallelogram

Yser asked Apr 20, 2023

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10 votes

Yser asked Apr 20, 2023

by Yser

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18 votes

If ABDC is a parallelogram, AB is parallel to DC.

So, 4x-18 and x+6 are alternate angles. Which are congruent.

So:

4x-18 = x+6

Solve for x:

4x-x = 6+18

3x = 24

x=24/3

x= 8

Drorsun answered Apr 26, 2023

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