In the figure below, n || find the values of x and y.

Henrik Petterson asked Sep 24, 2023

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Henrik Petterson asked Sep 24, 2023

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9 votes

Answer:

${ \tt{x + 83 = 180}}$

[ Property of angles on a straight line ]

${ \tt{x = 180 - 83}} \\ \\ { \boxed{ \tt{x = 97 \degree}}}$

${ \tt{(4y - 27) = x}} \\$

[ Property of alternate angles ]

${ \tt{4y - 27 = 97}} \\ { \tt{4y = 124}} \\ { \tt{ (4y)/(4) = (124)/(4) }} \\ \\ { \boxed{ \tt{y = 31 \degree}}}$

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