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?
Since <1 and <3 are a vertical pair, they are congruent. Therefore, m<1 = m<3.
Given that m<3 = 104, we can set up the equation as follows:
(3x - 25) = 104
To solve for x, we will isolate it on one side of the equation.
Adding 25 to both sides, we get:
3x = 104 + 25
3x = 129
Dividing both sides by 3, we find:
x = 129/3
x = <<43=43>>43
Therefore, the value of x is 43.