Answered step by step
Verified Expert Solution
Question
1 Approved Answer
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
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started