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 point)
Since angles 1 and 3 are a vertical pair, they are congruent. Therefore, m∠1 = m∠3.
We are given that m∠1 = (3x - 25)° and m∠3 = 104°.
Therefore, (3x - 25)° = 104°.
To find x, we need to solve for x.
Adding 25 to both sides, we get:
3x = 129.
Lastly, dividing both sides by 3, we find:
x = 43.
Therefore, the value of x is 43.