Question

find the value of x using the figure, shown to the right.
the value of x is \\(\square\\).
(simplify your answer. do not include the degree symbol in your answer.)

Explanation:

Answer:

18

To solve for \( x \), we recognize that the two angles \( 3(x + 7)^\circ \) and \( 69^\circ \) are corresponding angles (since the lines are parallel and cut by a transversal), so they are equal.

Set up the equation:
\( 3(x + 7) = 69 \)

Divide both sides by 3:
\( x + 7 = 23 \)

Subtract 7 from both sides:
\( x = 23 - 7 \)
\( x = 18 \)