Geometry Question PLEASE HELP and Thank you!!!

Question

In the diagram below, a || b. For lines p and q to be parallel, what is m<4? Explain. 

 

Diagram Link : http://imgur.com/a/XimLc

Answer 1

m∠4 = m∠3, alternate interior angles

Answer 2

the measure of angle 4 is 35 degrees.  Because angle 2 is 55 deg, angle 1 is 125 degrees, and the triangle containing angle 4 is a right triangle with acute angles 55 and 35 degrees.