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Question
given: ∠abc is a right angle, ∠dbc is a straight angle. prove: ∠abd is a right angle. what is the format of this proof? one - paragraph proof flowchart proof two - column proof two - paragraph proof statements reasons 1. ∠abc is a right angle 1. given 2. ∠dbc is a straight angle 2. given 3. m∠abc = 90° 3. definition of right angle 4. m∠dbc = 180° 4. definition of straight angle 5. m∠abd + m∠abc = m∠dbc 5. angle addition property 6. m∠abd + 90° = 180° 6. substitution property 7. m∠abd = 90° 7. subtraction property
The proof is presented in a table with two columns. One column lists statements and the other lists the reasons for those statements, which is characteristic of a two - column proof.
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two - column proof