The measure of angle L in parallelogram LMNO is ∠MLO =∠L = [tex]\rm 3 \times 20 -20 = \bold{40\textdegree}[/tex]
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 = [tex]\rm 3 \times 20 -20 = \bold{40\textdegree}[/tex]
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