What is the measure of angle L in parallelogram LMNO?

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Question:

What is the measure of angle L in parallelogram LMNO?

Answer:

The measure of angle L in parallelogram LMNO is ∠MLO =∠L =

A parallelogram is a quadrilateral with opposite sides parallel to each other and  with one pair of opposite acute angle and one pair of opposite  obtuse angle. The adjacent sides of the parallelogram do not make right angles with each other.  

Given a parallelogram LMNO

According to the property of parallelogram

The opposite angles of the parallelogram are always equal and hence we can write

∠MNO = ∠MLO

so

(2x)° = (3x-20)°

2x = 3x -20

x = 20°

So ∠MLO =∠L =

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