Question

In the 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 angle 1 and angle 3 are vertical angles, they are congruent. So, we can set up an equation:
m<1 = m<3
(3x - 25)° = 104°
Now, we can solve for x:
3x - 25 = 104
3x = 129
x = 43
So, the value of x is 43.