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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