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

To find the value of x, we set the measure of angle 1 equal to the measure of angle 3, since they are a vertical pair. So we have:

3x - 25 = 104

Adding 25 to both sides, we get:

3x = 129

Dividing both sides by 3, we find that:

x = 43