Final answer:
The student is seeking the measure of an angle given that two angles are complementary and one is four times the other. By using the definition of complementary and setting up an equation, we find that the measure of the requested angle (m∠vsw) is 18 degrees.
Step-by-step explanation:
The student is looking to find the measurement of m∠vsw given that ∠wsr and ∠vsw are complementary angles, and the measure of ∠wsr is four times the measure of m∠vsw. When two angles are complementary, they add up to 90 degrees. If m∠wsr is four times m∠vsw, then we can denote m∠wsr as 4x and m∠vsw as x.
Since they're complementary, their sum is 90 degrees. Thus, 4x + x = 90. Solving for x gives us x = 18. Therefore, m∠vsw is 18 degrees. So the correct answer is d) 18.
Learn more about Complementary Angles