n 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 ∠1 and ∠3 are a vertical pair, they are congruent. Therefore, ∠1 = ∠3.
Given that ∠1 = (3x - 25)° and ∠3 = 104°, we can equate the two angles and solve for x:
(3x - 25)° = 104°
Add 25 to both sides to isolate 3x:
3x = 104° + 25°
3x = 129°
Divide both sides by 3 to solve for x:
x = 129° / 3
x = 43°
Therefore, the value of x is 43.