Question

A square is drawn below. What is value of x

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )

`\qquad \sf  \dashrightarrow \:4x + 5 = 2x + 25`

`\qquad \sf  \dashrightarrow \:4x - 2x = 25 - 5`

`\qquad \sf  \dashrightarrow \:2x = 20`

`\qquad \sf  \dashrightarrow \:x = 10`

Hence, correct choice is B

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