Final answer:
To find the measure of ∠QRS with the given angles, one would subtract the other two angle measures from 180º, but the calculation leads to an answer not provided in the options, indicating a possible misunderstanding in the question or a typo in the options.
Step-by-step explanation:
The student is asking to find the measure of ∠QRS given the measures of ∠VRQ, which is 14º, and ∠ZVRS, which is 95º. Since we know that the angles in a triangle add up to 180º, we can find the measure of ∠QRS by subtracting the given angles from 180º. The calculation is as follows: 180º - 14º - 95º = 71º, which is not one of the options provided and indicates that there might be a mistake in the question. However, if ∠VRS is a straight angle, which is 180º by definition, then the measure of ∠QRS would be 180º - 95º = 85º, which is also not provided in the options.