Question

In the diagram above <1 = 135 degrees find the measure of <2

Answer 1

We have two parallel lines and one that passes through them diagonally.

Also, the <1 is 135°, and they ask for <2.

As we know, the parallel lines imply that the addition of its angles must be 180°

Then <2+<3=<180°

And again for the parallel lines, we have that the angle <1 must be equal to angle <3.

Then:

$<2=180°-135°$

Then the correct answer is <2=45°