Answer:
The measure of angle L is 40°
Step-by-step explanation:
we know that
In a parallelogram the opposite angles are congruent and the opposite sides are congruent and parallel
see the attached figure to better understand the problem
so
In this problem
∠L≅∠N
∠M≅∠O
we have
∠L=(3x-20)°
∠N=(2x)°
so
equate the angles and solve for x
[tex](3x-20)\°=(2x)\°[/tex]
[tex]3x-2x=20[/tex]
[tex]x=20[/tex]
Find the measure of angle L
[tex]L=(2x)\°[/tex]
substitute the value of x
[tex]L=(2(20))=40\°[/tex]
