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 ?(1 poin
Since ∠1 and ∠3 are a vertical pair, they are congruent. Therefore, m∠1 = m∠3.
According to the problem, m∠1 = (3x - 25)°.
And we know that m∠3 = 104°.
Setting the two expressions equal to each other, we have:
3x - 25 = 104
Adding 25 to both sides, we get:
3x = 129
Dividing both sides by 3, we get:
x = 43
Therefore, the value of x is 43. Answer: \boxed{43}.