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 a vertical pair, they are congruent. Therefore, we have:
m∠1 = m∠3
(3x - 25)° = 104°
Solving for x:
3x - 25 = 104
3x = 104 + 25
3x = 129
x = 129/3
x = <<129/3=43>>43
Therefore, the value of x is 43.