Question

What is the value of u? (Geometry problem)

Answer 1

U = 71 degrees

Explanation:

First you should set up an equation:

180 = b + (b - 19) + (180 - (b + 45))

Since there are 180 degrees in a triangle, set the sum of the angles equal to 180. And, since (u) and (b + 45) are supplementary angles that add up to 180, you can substitute (180 - (b + 45)) for (u).

Then, solve for (b):

180 = b + b - 19 + 180 - b - 45

180 = b + 116

64 = b

Find (b + 45):

64 + 45 = 109

Solve for (u):

180 - 109 = 71

u = 71