In order to determine whether a triangle can be formed with the given measurements, we need to find the third angle of the triangle. The sum of the angles in a triangle is always 180 degrees.
So, we start by adding together the given angles, which are 100 degrees (angle E) and 60 degrees (angle F). This yields a total of 160 degrees.
Next, we subtract this sum from 180 degrees to find the measure of angle D. So, 180 degrees minus 160 degrees gives us angle D = 20 degrees.
In order for a shape to qualify as a triangle, all of its angles must be greater than 0 degrees and less than 180 degrees. Therefore, we have to check if angle D, which is 20 degrees, meets these conditions.
After analyzing it, we see that 20 degrees falls within this range, meaning that a triangle can be formed with these angles.
In conclusion, a triangle DEF can be formed with side EF = 7.2cm, m angle E = 100° and m angle F = 60 degree. The angle D would be 20 degrees. These values satisfy the properties necessary to form a triangle.