Question

In quadrilateral PQRS, PQ= 4x-15, QR=4x+20, RS=3x+5 and SP=6x-20. What vale of x verifies that quadrilateral PQRS is a parallelogram

Answer 1

THE VALUE OF x = 20 ;

Explanation:

Since the quadrilateral PQRS is parallelogram,

Opposite sides are congruent , i.e QR =PS & PQ = RS

NOW EQUATING THE SIDES,

⇒ 4x - 15 = 3x +5

⇒ x = 20