2_-_8_Proving_angle_relationships__notes

Linear pair if the noncommon sides of adjacent angles

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Linear Pair If the noncommon sides of adjacent angles are opposite rays, then the angles are a linear pair. Prove the following conjectures. Supplement Theorem – If two angles form a linear pair , then they are supplementary . Given: Diagram Prove: 1 is supp to 2 Complement Theorem If the noncommon sides of two adjacent angles form a right angle , then the angles are complementary angles . Given: ABC is a right angle Prove: 1 is complementary to 2 1 is sup to 3 4 is sup to 6 2 is sup to 3 5 is sup to 6 m = 3 130 ° m = 6 45 ° Find m 1 and m 2 Find m 4 and m 5
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Prove the following conjectures. Congruent Supp Theorem If two or more angles are supplement to the same angle, then the supplements are congruent. : Given 1 is supp to 3 2 is supp to 3 Prove: 1 ≅ ∡ 2 Prove the following conjectures. Congruent Comp Theorem If two or more angles are complements to the same angle, then the complements are congruent. : Given 1 is complementary to 3 2 is complementary to 3 Prove: 1 ≅ ∡ 2 Vertical Angle Theorem Vertical angles are congruent.
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