Answer
$x = 22$
Work Step by Step
The angles depicted are considered alternate interior angles. If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
We can now set these two angles equal to one another and solve for $x$:
$176 - 3x = 5x$
Add $3x$ to each side of the equation:
$8x = 176$
Divide each side by $8$ to solve for $x$:
$x = 22$
