Mathematics
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31.01.2023

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17.02.2022, solved by verified expert

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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

Find the measure of angle L

substitute the value of x

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