Question

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

Answer 1

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`