Question

In angle UVW, UW is extended through point W to point X, mUVW = (x + 19)º, mWUV = (x + 13)º, and mVWX = (5x + 14)º. Find mWUV.

a) mWUV = xº
b) mWUV = 2x + 13º
c) mWUV = 18º
d) mWUV = 32º

Answer 1

To find the measure of angle WUV in the given triangle, we need to solve an equation that involves the angles of the triangle. The measure of angle WUV is 32 degrees.

Step-by-step explanation:

To find the measure of angle WUV, we can use the fact that the sum of angles in a triangle is 180 degrees. So we have the equation (x + 19) + (x + 13) + (5x + 14) = 180. Simplifying this equation, we get 7x + 46 = 180. Solving for x, we find x = 19. Substituting this value into the expression for mWUV, we get mWUV = 19 + 13 = 32 degrees. Therefore, the answer is option d) mWUV = 32º.