Line the protractor up with the angle. Position the bottom center of the protractor at the base of the angle.
Note at which point the angle crosses the hash marks on the protractor. This is the angle value.
Deduce the angle from its relation to a geometric shape. In triangles, the sum of the angles is 180 degrees. If you know two angles, you can deduce their sum from 180 to find the third.
Remember that a right angle is always 90 degrees.
Subtract one angle from 180 degrees if two angles lie on a straight line. This is because a straight line is always 180 degrees. Therefore, if you know one angle, you can calculate its complement (the one that sits adjacent to the other angle.)