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November 15th, 2016, 04:49 PM   #1
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Thumbs down 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.
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November 15th, 2016, 05:38 PM   #2
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Quote:
Suppose <A and <B are both supplementary to <C. Then,

a. m<A + m<C = ____ and m<B + m<C = ______
start by using the definition of "supplementary angles" to fill in both blanks ...
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