Find the measures of all angles formed by line a parallel to line b with transversal m, if: the sum of two angles is 68°

Answer with Explanation

If two lines are parallel a and b a line m cross in this case.

Corresponding angles are congruent if line a and lines b are parallel. All angles who have the same position with regards to the parallel lines and the transversal are called corresponding pairs. Two angles that are opposite each other as D and B in the figure above is called vertical angles.

Vertical angles are always congruent. Angles that are on the opposite sides of the transversal are called alternate angles like
So