Step 1: Differentiate the given angles

           NOTE: Differentiate as Interior or exterior angles

Step 2: Make sure are there any remote interior angles to the exterior angle

          NOTE: The measure of an exterior angle of a triangle is greater than the

          measures of its remote interior angles.

Step 3: Conclude that the exterior angle is greater than the remote angles

           EXAMPLE: Since  \angle 2 is an exterior angle of a triangle with   \angle 3 and  \angle 5 as remote interior angles,  \angle 2 is greater than  \angle 3 and  \angle 5. 

So,  \angle 2 has the largest measure of the three angles.