In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)°, and m∠3=98°, what is the value of x?(1 point)

Question

Responses

14
14      

72
72    

98
98  

18

Pls be right

Answer 1

To solve for \( x \), we can use the fact that vertical angles are equal. This means that:

\[ m∠1 = m∠3 \]

Given that:

\[ m∠1 = (4x + 26)° \quad \text{and} \quad m∠3 = 98° \]

We can set up the equation:

\[ 4x + 26 = 98 \]

Now, subtract 26 from both sides:

\[ 4x = 98 - 26 \] \[ 4x = 72 \]

Next, divide both sides by 4:

\[ x = \frac{72}{4} = 18 \]

Thus, the value of \( x \) is \( 18 \).

So, the correct answer is 18.