Question

angles 1 and 3 are vertical angles, angle 1 is 2x+26 and angle 3 is 14, what is the value of x

Answers

GPT-4o mini
Since angles 1 and 3 are vertical angles, they are equal. Therefore, we can set up the equation:

\[
2x + 26 = 14
\]

To solve for \(x\), first subtract 26 from both sides:

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

Next, divide both sides by 2:

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

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

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