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 ∠1 and ∠3 are a vertical pair, they are equal in measure. Therefore, we have:

m∠1 = m∠3
(3x-25)° = 104°

Solving for x:
3x-25 = 104
3x = 129
x = 43

So the value of x is 43.