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Find the value of Y in the figure above .

Find the value of Y in the figure above .-example-1

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9514 1404 393

Answer:

  • x = 37
  • y = 22

Explanation:

Consecutive interior angles are supplementary.

(x -20)° +(4x +15)° = 180°

5x = 185 . . . . . . . . . . . . . . divide by °, add 5

x = 37 . . . . . . . . . . . . divide by 5

__

74° +(5y -4)° = 180°

5y = 110 . . . . . . . . . . . divide by °, subtract 70

y = 22 . . . . . . . . . . divide by 5

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