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http://prntscr.com/cn79kw Are these two right? The other options are definition of complementary angles and angle congruence postulate.
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Which boxes were already filled in by the book? Which were left empty? Were the empty ones the ones you circled in red?
yes
The empty ones are in red
*were
You have them mixed up. The first box should be "Linear Pair Postulate" http://planetmath.org/linearpair if you have a linear pair of angles, then the angles are supplementary
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If you know two angles are supplementary, then they add to 180 degrees
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