Final answer:
To find the measurement of angle C in triangle ABC, the student should align the protractor correctly and read the value where the side of the angle intersects with the protractor's scale, selecting the closest answer from the given choices.
Step-by-step explanation:
The student is using a protractor to find the measurements of the interior angles of triangle ABC and needs to determine which is closest to the measure of angle C. To do this, the student should place the center of the protractor at the vertex of angle C, with the baseline of the protractor aligned with one side of the angle.
The student would then read the scale on the protractor that corresponds with the other side of angle C. Choices are given in the question: (a) 30 degrees, (b) 45 degrees, (c) 60 degrees, and (d) 90 degrees. Without an accompanying image, we cannot give a specific numerical answer, but this method will allow the student to determine the closest answer.