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 ∠1 and ∠3 are a vertical pair, they are congruent. Therefore, ∠1 = ∠3.
Given that ∠3 = 104°, we have:
∠1 = ∠3
∠1 = 104°
Since it is also given that m∠1 = (3x-25)°, we can equate the two expressions for ∠1:
(3x-25)° = 104°
To solve for x, we need to isolate it on one side of the equation. Adding 25 to both sides gives:
3x = 104° + 25°
3x = 129°
Finally, dividing both sides by 3 gives:
x = 129°/3
x = 43°
Therefore, the value of x is 43.