Question

How do I solve this?

Answer 1

9514 1404 393

Answer:

• x = 10
• y = 19

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

  (8x +40)° +(6x)° = 180°

  14x +40 = 180 . . . . . . . . . divide by °, collect terms

  14x = 140 . . . . . . . . . subtract 40

  x = 10 . . . . . . . . divide by 14

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We can use the same approach for y:

  (7y)° +(3y -10)° = 180°

  10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms

  y = 19 . . . . . . . . . . . divide by 10