Question

In ΔVWX, where ∠X measures 90°, VW is 2.1 feet, and WX is 1.6 feet, what is the measure of ∠W to the nearest tenth of a degree?

A. 35.7°
B. 54.3°
C. 45.0°
D. 57.7°

Answer 1

In a right triangle, if one angle measures 90 degrees, the sum of the other two angles is 0 degrees. Therefore, the measure of angle W is 0 degrees.

Step-by-step explanation:

In a right triangle, the sum of the angles is always equal to 90 degrees. So, if we know that angle X measures 90 degrees, we can find the measure of angle W by subtracting the measures of angles V and X from 90 degrees.

angle W + angle V + angle X = 90 degrees

angle W + angle V = 90 degrees - 90 degrees = 0 degrees

Since the sum of angle W and angle V is 0 degrees, we can conclude that the measure of angle W is 0 degrees. Therefore, none of the given options (A, B, C, D) is the correct answer.