Angles m∠1 and m∠3 are vertical angles. If m∠1=(2x+26)° and m∠3=14°, what is the value of x?(1 point)

Question

x= ___

Answer 1

Since angles \( m∠1 \) and \( m∠3 \) are vertical angles, they are equal. Therefore, we can set up the equation:

\[ 2x + 26 = 14 \]

Now, we solve for \( x \):

1. Subtract 26 from both sides:

\[ 2x = 14 - 26 \] \[ 2x = -12 \]

2. Divide both sides by 2:

\[ x = \frac{-12}{2} = -6 \]

Thus, the value of \( x \) is:

\[ \boxed{-6} \]