Question 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, we can set up the equation:
m∠1 = m∠3
3x - 25 = 104
Adding 25 to both sides of the equation, we get:
3x = 129
To isolate x, we divide both sides of the equation by 3:
x = 129/3
Simplifying further:
x = 43
Therefore, the value of x is 43.