Assume lines m and n intersect line a. Line m is perpendicular to line a, indicating that all four angles formed by the intersection of m and a are 90°.
Likewise, line n is perpendicular to line a, meaning that all four angles formed by the intersection of n and a are also 90°.
As all angles are equal, this implies that the same-side interior angles (between lines m and n) are also equal. When two same-side interior angles are equal, the lines are parallel.
can you please reword this?
Let m and n be lines that intersect line a. Let m be perpendicular to a. This means that all 4 of the angles formed by the intersection of m and a are 90°.
Let n be perpendicular to a. This means that all 4 of the angles formed by the intersection of n and a are also 90°.
Since all of the angles are congruent, this means that the same-side interior angles (between lines m and n) are congruent. If two same-side interior angles are congruent, then the lines are parallel
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