2.5_Proofs_of_Angle_Theorems

2.5_Proofs_of_Angle_Theorems - Angle Theorems Paragraph...

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Angle Theorems
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Paragraph Proof
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Given: 1 & 2 are a linear pair Prove: 1 & 2 are supplementary 1 & 2 are a linear pair of angles formed by opposite rays BA and BC. Opposite rays form a straight angle so m ABC = 180°. By angle addition, m ABC = m 1 + m 2. Using substitution 180° = m 1 + m 2. Therefore by definition of supplementary angles, 1 & 2 are supplementary. 2 1 A B C
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If two angles form a linear pair, then they are supplementary.
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If two angles form a linear pair, then the sum of the angles is 180°.
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Given: 1 2 are a linear pair Prove: m 1 + m 2 = 180° 1. 2 are a linear pair 2. 1 + 2 are supplementary 3. m 1 + m 2 = 180° statements 1. Given 2. Linear pair supp. 3. supp. ’s sum 180° 2 1
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Supplements of the same angle or congruent angles are congruent.
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Given: A B are supplementary C B are supplementary Prove: A C 1. B are supp. C &
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This note was uploaded on 09/20/2011 for the course ALGEBRA idk taught by Professor White during the Spring '11 term at University of Houston.

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2.5_Proofs_of_Angle_Theorems - Angle Theorems Paragraph...

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