Mathematics, 19.03.2020 03:50 AikawaAisyah2438

Fill in the blanks to complete this proof of theorem 2-3.

If two congruent angles are complements of the same angle, then the two angles are congruent.

Given: angle 1 and angle 2 are complementary

angle 3 and angle 2 are complementary

Prove: angle 1 is congruent to angle 3

Proof: angle 1 and angle 2 are complementary and angle 3 and angle 2 are complementary because it is given. By the definition of complementary angles, m of angle 1 + m of angle 2 = _ and m of angle 3 + m of angle 2 = _. Then m of angle 1 + m of angle 2 = m of angle 3 + m of angle 2 by the Transitive Property of Equality. Subtract m of angle 2 from each side. By the Subtraction Property of Equality, you get m of angle 1 = _. Angles with the same measure are _, so angle 1 is congruent to angle 3.

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Fill in the blanks to complete this proof of theorem 2-3.

If two congruent angles are c...