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Complete the paragraph proof of the following statement: The acute angels of a right triangle are complementary.
Given: (Triangle) ABC with right angle C
Prove: (angle) A and (angle) B are complemetry.
Proof: By the definition of a right angle, m
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By the definition of a right angle, m<C=____? 90 ---------------------- By the triangle angle sum theorm, m<A + m<B + m<C =_____? 180 ----------------------- Subracting 90 from each side gives m<A + m<B=____?, so <A and <B are _____? by the definition of________? 90; complementary; complementary angles. -------------------------------------
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