Question

Given the diagram below, whereAB||CD, find the measure of xand y.

Answer 1

Notice that there are two triangles between the parallel lines.

Also, notice that the angle 160° and y are same-side interior angles, so they sum 180°.

`160+y=180`

We solve for y.

`\begin{gathered} y=180-160 \\ y=20 \end{gathered}`

On the other hand, angles 30 and x are alternate interior angles, which means they are congruent.

`x=30`

Therefore, x = 30° and y = 20°.