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What are the remaining angle measures if the figure is to be a parallelogram

What are the remaining angle measures if the figure is to be a parallelogram-example-1

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Answer:

Angle B = 101 degrees

Angle C = 79 degrees

Angle D = 101 degrees

Explanation:

A parallelogram has 4 internal angles that sum up to 360 degrees.

The internal angles of a parallelogram facing each other are always equal.

Which means:

Angle A = Angle C = x

Angle B = Angle D = y

Now, x = Angle A = 79 degrees

Angle C = x = 79 degrees

We know that in case of a parallelogram

2x + 2y = 360

2y = 360 - 2(79)

y = (360 - 158)/2

y = 202/2

y = 101 degrees

Hence,

Angle B = y = 101 degrees

Angle D = y = 101 degrees

User Nikolay Gogol
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