Question: Write a paragraph proof to prove that 1 and 2 are complementary given that 2 and 3 are complementary, and m1=m3 . The figure shows
Write a paragraph proof to prove that 1 and 2 are complementary given that 2 and 3 are complementary, and m1=m3 . The figure shows obtuse angle A B C that consists of three smaller angles. These angles are labeled as 1, 2, 3. HERE ARE THE ANSWER CHOICES: A. It is given that 2 and 3 are complementary. By the Additive Property of Equality, m2 + m3 = 90. It is given that m1 = m3. So, by the Transitive Property of Equality, m1 + m2 = 90. Thus, by the definition of complementary angles, 1 and 2 are complementary. B. It is given that 2 and 3 are complementary. By the definition of complementary angles, m2 + m3 = 90. It is given that m1 = m3. So, by the Substitution Property of Equality, m1 + m2 = 90. Thus, by the Transitive Property of Equality, 1 and 2 are complementary. C. It is given that 1 and 2 are complementary. By the Additive Property of Equality, m1 + m2 = 90. It is given that m1 = m3. So, by the Substitution Property of Equality, m1 + m2 = 90. Thus, by the definition of complementary angles, 1 and 2 are complementary. D. It is given that 2 and 3 are complementary. By the definition of complementary angles, m2 + m3 = 90. It is given that m1 = m3. So, by the Substitution Property of Equality, m1 + m2 = 90. Thus, by the definition of complementary angles, 1 and 2 are complementary
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