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Lines m and n are paralle. Find the measures of angles x, y, and z in the figure

Lines m and n are paralle. Find the measures of angles x, y, and z in the figure-example-1

1 Answer

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Step-by-step explanation

From the image, angle x and 65 degrees form angles on a straight line. We will recall that the sum of angles on a straight line sums up to 180 degrees.

Therefore,


\begin{gathered} x+65^0=180^0 \\ x=180^0-65^0 \\ x=115^0 \end{gathered}

Angle y and 65 degrees form alternate angles, we will recall that alternate angles are equal

Therefore,


y=65^0

Angle x and angle z form corresponding angles, we will recall that corresponding angles are equal.

Therefore,


z=115^0

Answer:


x=115^0,y=65^0,z=115^0

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