Question

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

Answer 1

The value of x that would make ABCD a parallelogram is x = 5

How to find the interior angle of a parallelograms?

A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

Opposite sides of a parallelogram are congruent and parallel

Therefore,

5x - 3 = 14x - 48

subtract 5x from both sides

5x - 5x - 3 = 14x - 5x - 48

-3 = 9x - 48

add 48 to both sides

-3 + 48 = 9x - 48 + 48

45 = 9x

x = 45 / 9

x = 5

Therefore, the value of x that would make ABCD a parallelogram is x = 5

learn more on parallelograms here: brainly.com/question/9370590

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