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 = 10, what is the value of x?

Answer 1

Since <1 and <3 are a vertical pair, their measures are equal. This means that m<1 = m<3. We are given that m<3 = 10, so we can set up an equation:
(3x - 25) = 10
Now, we can solve for x:
3x - 25 = 10
3x = 35
x = 35/3
x = 11.67