Final answer:
After deducing that triangle TUV is isosceles with VT = UV and mZU = 32°, calculation shows mZT is 74°. However, this option is not provided, suggesting an error in the options or misunderstanding in the question.
Step-by-step explanation:
The student is given a triangle TUV where VT = UV and the measure of angle U (mZU) is 32°. Since VT equals UV, triangle TUV is isosceles, meaning angles T and V are also equal. The sum of angles in any triangle equals 180°. Therefore, we can find the measure of angle T by subtracting the measure of angle U from 180° and then dividing by 2, because the two base angles are equal in an isosceles triangle.
mZT = (180° - mZU) / 2
mZT = (180° - 32°) / 2
mZT = 148° / 2
mZT = 74°
However, the options provided do not include 74°, which implies that there is an error in the options given or there is some misunderstanding in the question.