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9 (28x + 50)° 134°

Question

9 (28x + 50)° 134°

Explanation:

Step1: Identify vertical angles

The angle \( (28x + 50)^\circ \) and the \( 134^\circ \) angle are vertical angles, so they are equal.
\[
28x + 50 = 134
\]

Step2: Solve for \( x \)

Subtract 50 from both sides:
\[
28x = 134 - 50
\]
\[
28x = 84
\]
Divide both sides by 28:
\[
x = \frac{84}{28}
\]
\[
x = 3
\]

Answer:

\( x = 3 \)