Question

LMNO is a parallelogram. If NM = x + 6 and OL = 2x + 3, find the value of x and then find NM and OL.

A. x = 5, NM = 9, OL = 11
r = 3. NM-9, OL = 9
C. x = 5, NM = 11, OL= 11
D. x = 3, NM = 11, OL = 9
B

Answer 1

Option B. is correct.

Explanation:

Since LMNO is a parallelogram, so the opposite sides of the parallelogram LMNO will be equal.

Hence, LM =NO and NM = OL. {Those are opposite sides}

Now, given that NM =x+6 and OL = 2x+3.

Hence, x+6 =2x+3

⇒ x= 3.

Therefore, NM =x+6 =3+6 =9 units and OL = 2x+3= 2×3+3 =9 units.

So, option B. is correct. (Answer)