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November 15th, 2016, 04:49 PM  #1 
Newbie Joined: Oct 2016 From: United States of America Posts: 7 Thanks: 0  Deductive Arguments and Conjectures
Suppose you make the following conjecture: if two angles are supplementary to the same angle, then they are congruent to each other. Complete the following deductive argument to show why the conjecture is true: Suppose <A and <B are both supplementary to <C. Then, a. m<A + m<C = ____ and m<B + m<C = ______ Solve the first equation for m<A b. m<A = ______ Solve the second equation for m<B c. m<B = _____ By Substitution. d. _________ Therefore, <A ~= <B by the definition of congruent angles. 
November 15th, 2016, 05:38 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,568 Thanks: 1271  Quote:
 

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arguments, conjectures, deductive 
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