Question

transversals unclear text 74° a (9x + 11)° b multiple choice options (e.g., x=7, 14, etc.)

Explanation:

Answer:

To solve for \( x \), we recognize that the angles \( 74^\circ \) and \( (9x + 11)^\circ \) are corresponding angles (since lines \( a \) and \( b \) are parallel and cut by a transversal), so they are equal.

Set up the equation:
\( 9x + 11 = 74 \)

Subtract 11 from both sides:
\( 9x = 74 - 11 \)
\( 9x = 63 \)

Divide both sides by 9:
\( x = \frac{63}{9} \)
\( x = 7 \)

(Assuming the options include \( 7 \), the answer is \( x = 7 \).)