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9514 1404 393
Answer:
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