the measure of an exterior angle of a triangle is greater than every interior angle of a triangle, true or false

Answer 1

False.

For an obtuse triangle, Angle 4 is not greater than Angle 3 so this example proves the statement false.

Answer 2

Angles 1, 2, and 3 are the interior angles of this triangle and angle 4 is one of the exterior angles. Is angle 4 greater than angle 1, or angle 2, or angle 3?