Question

In the diagram above <3 = 135 degrees find the measure of <4

Answer 1

First, let's draw the picture and write some information that we already know about it

Remember that a line that passes throw two parallel lines will make the same angles, so if we already know that the angle <3=135º (which is alpha in the draw) we can find the supplementary angle which is <4 (the angle that we want to know), lets do it:

Finally, the angle <4=45º