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 angle 1 and angle 3 are vertical angles, they are congruent. Therefore, we have the equation:
(3x - 25)° = 104°
Adding 25 to both sides of the equation yields:
3x = 129°
Dividing both sides of the equation by 3, we find:
x = <<43=43>>43
Therefore, the value of x is 43.