# Find the value of x that makes ABCD a parallelogram.

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## Question:

Find the value of x that makes ABCD a parallelogram.

Value of x = 10 to make ABCD a parallelogram.

### What is parallelogram?

” Parallelogram is a quadrilateral in which opposite sides are parallel and congruent to each other.”

Formula used

∠A +∠B +∠C + ∠D = 360°

According to the question,

∠B = ∠D = 130°

∠C = 5x

To make ABCD a parallelogram,

C= ∠A = 5x

Substitute the value in the formula

5x +130 +5x + 130 =360

⇒10x + 260 = 360

x = 10

Hence, Value of x = 10 to make ABCD a parallelogram.

#SPJ2

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