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?

Answer 1

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.