Chapter 10 - Geometry - 10.1 Points, Lines, Planes, and Angles - Exercise Set 10.1 - Page 617: 31

See below.

Angle $1$ is $38^\circ$ because both the lines making the angle up are parallel to the angle of $38^\circ$. Angles $1$ and $2$ add up to $90$ degrees thus Angle $2$ is $90-38=52^\circ$. Angles $1$ and $3$ add up to $180$ degrees thus Angle $3$ is $180-38=142^\circ$.