Respuesta :

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,

[tex]\begin{gathered} x+65^0=180^0 \\ x=180^0-65^0 \\ x=115^0 \end{gathered}[/tex]

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

Therefore,

[tex]y=65^0[/tex]

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

Therefore,

[tex]z=115^0[/tex]

Answer:

[tex]x=115^0,y=65^0,z=115^0[/tex]

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