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)

Answer 1

Since angles ∠1 and ∠3 are a vertical pair, they are equal. Therefore, we can set up the equation:

\[ m∠1 = m∠3 \]

Substituting the given expressions:

\[ 3x - 25 = 104 \]

Now, solve for \(x\):

1. Add 25 to both sides:

\[ 3x = 104 + 25 \]

\[ 3x = 129 \]

2. Divide both sides by 3:

\[ x = \frac{129}{3} = 43 \]

Thus, the value of \(x\) is

\[ \boxed{43} \]