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 angles 1 and 3 are a vertical pair, they are congruent. Therefore, m1 = m3.

Given that m1 = (3x - 25)° and m3 = 104°, we can set up the equation:
3x - 25 = 104

Adding 25 to both sides of the equation:
3x = 104 + 25
3x = 129

Dividing both sides of the equation by 3:
x = 43

Therefore, the value of x is 43.