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 i

Question

4 years ago

12

n parallelogram LMNO? 20° 30° 40° 50°

2 answers:

timofeeve [1] · Answer 1 · 2021-11-27T01:32:00+03:00

7 0

Answer:

40

Step-by-step explanation:

Just took the test

emmasim [6.3K] · Answer 2 · 2021-11-26T23:27:06+03:00

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

$(3x-20)\°=(2x)\°$

$3x-2x=20$

$x=20$

Find the measure of angle L

$L=(2x)\°$

substitute the value of x

$L=(2(20))=40\°$