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An angle is the intersection of two rays with a common endpoint. An angle is named: using three letters, where the middle letter is the vertex. (<ABC or <CBA) using one letter, its vertex (<B) An acute angle is an angle whose measure is less than 90° A right angle is an angle whose measure is 90°. An obtuse angle is an angle whose measure is more than 90°, but less than 1800 A straight angle is an angle whose measure is 180°. A reflex angle is an angle whose measure is more than 180°. Adjacent Angles are 2 angles that share a common vertex, a common side and no common interior points. <1 and <2 are adjacent angles. <1 and <ABC are NOT adjacent. (<ABC overlaps <1) Vertical Angles are 2 angles whose sides form two pairs of opposite rays (straight lines). THEOREM: Vertical angles are congruent. Complementary Angles are 2 angles the sum of whose measures is 90°. THEOREM: Complements of the same angle, or congruent angles, are congruent. Supplementary Angles are 2 angles the sum of whose measures is 180°. THEOREM: Supplements of the same angle, or congruent angles, are congruent. A Linear Pair is 2 adjacent angles whose non-common sides form opposite rays. THEOREM: If two angles form a linear pair, they are supplementary. THEOREM: If two congruent angles form a linear pair, they are right angles. <1 and <3 are vertical angles. <2 and <4 are vertical angles. <1 and <2 are NOT vertical. <1 and <2 are complementary. < XYZ and <1 are NOT complementary. (the rays are perpendicular) <1 and <2 are supplementary. The line passing through points A, B, and C is a straight line. <1 and <2 form a linear pair. The line passing through points A, B, and C is a straight line. <1 and <2 are supplementary.