In a geometric figure two intersecting lines create four angles, where <1 and <3 are a vertical pair. If m<1 = (3x - 25) ° and m<3 = 104° what is the value of x?

Answer 1

Since <1 and <3 are a vertical pair, they are congruent, meaning that they have the same measure. Therefore, we can set up an equation:

(3x - 25)° = 104°

Now we can solve for x:

3x - 25 = 104
3x = 129
x = <<43=43>>43

Therefore, the value of x is 43.