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Finger [1]
3 years ago
9

Need understanding how to do this

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

  • 102 + (3x +2) = 180 . . . . equation to solve
  • x = 25 1/3 . . . . . . . . . . . . value of x

Step-by-step explanation:

It can be helpful to draw a diagram of a parallelogram ABCD and identify the angles in the problem statement. You will find they are adjacent angles.

Adjacent angles in a parallelogram are supplementary, so the sum of the given angle measures will be 180°.

  102 + (3x +2) = 180 . . . equation used to solve for x

  3x = 76 . . . . . . . . . . . . . subtract 104

  x = 76/3 . . . . . . . . . . . . divide by 3

  x = 25 1/3 . . . the value of x

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Step-by-step explanation:

XWY and VWY are supplementary

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∴ XYW + ZYW = 180°

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