Question

Given: LMNK is a parallelogram.

Find x.
N
12x - 2
K
M
22
L X= ?

Answer 1

The value of x is 2

Explanation:

• In the parallelogram, every two opposite sides are equal in lengths

Let us solve the question

In the given figure

∵ LMNK is a parallelogram

∵ ML and NK are opposite sides

→ By using the rule above

∴ ML = NK

∵ ML = 22

∵ NK = 12x - 2

→ Equate them

∴ 12x - 2 = 22

→ Add 2 to both sides

∵ 12x - 2 + 2 = 22 + 2

∴ 12x = 24

→ Divide both sides by 12

∴ x = 2