Question

Question
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)
x=

Answer 1

Since angles m∠1 and m∠3 are vertical angles, they are equal. Therefore, we can set the expressions for these angles equal to each other:

\[
2x + 26 = 14
\]

Now, we'll 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 \(-6\).