Final answer:
The measure of Angle TEF equals half of Angle TEA, assuming EF is the angle bisector. Therefore, Angle TEF = 1/2 * Angle TEA.
Step-by-step explanation:
When EF serves as the angle bisector of Angle TEA, it divides Angle TEA into two equal parts. According to the angle bisector theorem, the angle bisector divides the angle into two congruent angles. In this case, Angle TEF represents one of the angles formed by the angle bisector EF.
The theorem implies that the measure of Angle TEF is half the measure of Angle TEA. So, if Angle TEA measures 'x' degrees, Angle TEF, being half of Angle TEA, will measure 'x/2' degrees. This demonstrates the relationship between the angle bisector EF and the resulting angles TEF and TEA.
This property of angle bisectors holds true in geometric scenarios where an angle is bisected by a line segment or ray, creating two equal angles. Therefore, in the context where EF bisects Angle TEA, Angle TEF measures half the degree measure of Angle TEA.