Question

LMNO is a parallelogram. If NM=x+15 and OL =3x+5 find the value of x an then find NM and OL

Answer 1

Given that LMNO is a parallelogram, therefore, value of x = 5; NM = OL = 20.

Opposite Sides of a Parallelogram

The two pairs of sides in any parallelogram which are parallel to each other are also congruent.

Given that LMNO is a parallelogram, with:

• NM = x+15
• OL =3x+5

Thus:

NM = OL

Substitute

x+15 = 3x+5

Combine like terms

x - 3x = -15 + 5

-2x = -10

x = 5

Therefore, plugging in the value of x, we have:

NM = x + 15 = 5 + 15

NM = 20

OL = 3x + 5 = 3(5) + 5 = 20

In summary, given that LMNO is a parallelogram, therefore, value of x = 5; NM = OL = 20.

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