Question

Label the vertices and all the elements needed. Find x. Give reasons!

Note: The lines are not parallel!

Answer 1

Check the picture below.

so we have two alternate interior angles, of "x+x", and the straight line on the left-hand-side, so

`2x+(90-x) + 2x ~~ = ~~180\implies 3x+90=180 \\\\\\ 3x=90\implies x=\cfrac{90}{3}\implies x=30^o`