Answer
Angle 1: 75 degrees
Angle 2: 105 degrees
Work Step by Step
Angle 1 and the 105 degree angle are same side interior angles, meaning that their sum is 180 degrees in this case. Thus, angle 1 is $\underline {75 ^{\circ}}$ The other angle forms a linear pair with angle 1. In other words, angle two is equal to 180-75 =$\underline {105 ^{\circ}}$