Question

Angles m angle 1 and m angle 3 are ertical angles if m angle 1 = (2x + 26) and m angle 3 = 14 what is the value of x

Answer 1

Vertical angles are equal, which means that if \( m \angle 1 = m \angle 3 \), we can set the two expressions equal to each other:

\[
2x + 26 = 14
\]

Now, we can solve for \( x \):

1. Subtract 26 from both sides:

\[
2x = 14 - 26
\]

\[
2x = -12
\]

2. Divide both sides by 2:

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

\[
x = -6
\]

Thus, the value of \( x \) is \( -6 \).