Alternate Interior Angles in Parallel Lines
How to solve alternate interior angles in parallel lines problems: definition, theorem, examples, and their solutions.
By two lines and a transversal,
2 pairs of alternate interior angles are formed.
(same colored angles)
If a transversal passes through parallel lines,
then a pair of alternate interior angles is congruent.
(= Same colored angles are congruent.)
These two horizontal lines are parallel.
So the given alternate interior angles are congruent.
So 6x - 7 = 59.
Draw an auxiliary line (dashed line)
that is parallel to the horizontal lines.
Then the blue angles are congruent.
And the purple angles are also congruent.
So x = 53 + 34.