Question

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

Answer 1

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:

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