Question

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees. What is the measure of angle L in parallelogram LMNO? 20° 30° 40° 50°

Answer 1

40

Explanation:

Just took the test

Answer 2

The measure of angle L is 40°

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

`(3x-20)\°=(2x)\°`

`3x-2x=20`

`x=20`

Find the measure of angle L

`L=(2x)\°`

substitute the value of x

`L=(2(20))=40\°`