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Mathematics : asked on Mistytrotter
 31.01.2023

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°

. 50

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17.02.2022, solved by verified expert
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Bibin (Bibi) P B
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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

Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27

Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27

Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27

Find the measure of angle L

Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27

substitute the value of x

Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27


Parallelogram l m n o is shown. angle n is (2, №15223160, 31.01.2023 21:27

Video explanation

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