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sesenic [268]
1 year ago
8

Can anyone please help me with this question

Mathematics
1 answer:
MrRissso [65]1 year ago
6 0

The length of AD in the parallelogram is 143 cm.

<h3>How to find the side of a parallelogram?</h3>

A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.

Hence,

2x + 72 + 2x - 20 = 180

4x + 52 = 180

4x = 180 - 52

4x = 128

divide both sides by 4

4x / 4 = 128 / 4

x = 32

Therefore,

∠A = 2(32) + 72 = 64 + 72 = 136 degrees

z = 136°

Therefore,

AC = BC = BD = AD

AC = z + 7

AC = 136 + 7

AC = 143 cm

Hence,

AD = 143 cm

learn more on parallelogram here: brainly.com/question/10930298

#SPJ1

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