Question

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

Answer options:


5


3


17


34

Answer 1

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

→ x = 5

Therefore, the value of x is 5.