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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Figure LMNO is a parallelogram. What is the value of x?

finding the missing value of x in the parallelogram

Solution:

Given

LMNO is the parallelogram.

∠M = (3x)°

∠N = (8x - 40)°

In the parallelogram, the adjacent angles are supplementary.

∠M + ∠N=180°

Substituting the values

3x + 8x - 40 = 180

By further calculation

11x = 180 + 40

11x = 220

Dividing both sides by 11

x = 220/11

x = 20°

Therefore, the value of x is 20°.

Figure LMNO is a parallelogram. What is the value of x?

Summary:

Figure LMNO is a parallelogram. The value of x is 20°.

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