What are the values of x and y in the parallelogram?

9514 1404 393

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles are supplementary.

  (5x -180) +x = 180

  6x = 360 . . . . . . . . . . add 180, collect terms

  x = 60 . . . . . . . . divide by 6

Opposite angles are congruent.

  2y = 60 . . . . . . 2y = x

  y = 30 . . . . . . . .divide by 2

The value of x is 60; the value of y is 30.

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