1. The problem is to find the sum of two angles: 45 degrees and 60 degrees. 2. The formula for the sum of angles is simply addition: $$\text{Sum} = \theta_1 + \theta_2$$ 3. Substitute the given values: $$\text{Sum} = 45^\circ + 60^\circ$$ 4. Calculate the sum: $$\text{Sum} = 105^\circ$$ 5. Therefore, the sum of a 45 degree angle and a 60 degree angle is 105 degrees.