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Suppose ABCD is a parallelogram. Find the value of x and y.

Suppose ABCD is a parallelogram. Find the value of x and y.-example-1
User Ryuichiro
by
5.2k points

1 Answer

3 votes

answer:

x = 4

y = 19

Explanation:

  • we know that this is a parallelogram, so opposite sides are equal
  • this is one of the properties of a parallelogram

therefore,

segment AB = segment DC and segment AD = segment BC

  • now plug in the expressions according to what we know (& solve)

AB = DC

5x - 13 = 9x - 29

-13 = 4x - 29

16 = 4x

x = 4

AD = BC

3y - 11 = 2y + 8

y - 11 = 8

y = 19

User Amazingjxq
by
5.1k points
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