← MATH 01310 · College Geometry
MATH 01310 · Proof & congruence/similarity
Parallel lines / transversals
Definition
A transversal crossing parallels creates congruent corresponding angles, congruent alternate interior angles, and supplementary consecutive interior angles. Converses prove lines parallel.
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In Euclidean geometry, Playfair/Euclid’s parallel postulate underlies these facts.
Triangle angle sum (180°) is tightly linked to parallel-line angle relationships.
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1.Given parallel lines, find all angles determined by a transversal if one angle is 110°.