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 ?
If ∠1 and ∠3 are a vertical pair, then they are congruent. Therefore, ∠1 = ∠3.
We are given that m∠3 = 104°. Therefore, ∠3 = 104°.
Setting ∠1 = ∠3, we have 3x - 25 = 104.
Adding 25 to both sides, we have 3x = 129.
Dividing both sides by 3, we have x = <<43=43>>43.
Therefore, the value of x is 43.