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

In the figure below, n || find the values of x and y.-example-1

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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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