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Identify the paragraph proof for the two-column proof. Given: mt=5ms Prove: ms=30 Two-Column Proof 1. mt=5ms (Given) 2. t and s are supplementary (Lin. Pair
Identify the paragraph proof for the two-column proof. Given: mt=5ms Prove: ms=30 Two-Column Proof 1. mt=5ms (Given) 2. t and s are supplementary (Lin. Pair Thm.) 3. mt+ms=180 (Def. of Supp. s) 4. 5ms+ms=180 (Subst. Prop. of = ) 5. 6ms=180 (Simplify.) 6. ms=30 (Div. Prop. of = ) The figure shows a straight angle that consists of two smaller angles. The first small angle is labeled as s, and the second one is labeled as t. It is given that mt = 5 ms. t and s are complementary angles by the Linear Pair theorem. By the definition of complementary angles, mt + ms = 180. By the Substitution Property of Equality, 5 ms + ms = 180. By simplification, 6 ms = 180. By the Multiplication Property of Equality, ms = 30. It is given that mt = 5 ms. t and s are complementary angles by the Linear Pair Theorem. By the definition of complementary angles, mt + ms = 90. By the Substitution Property of Equality, 5 ms + ms = 90. By simplification, 6 ms = 90. By the Division Property of Equality, ms = 30. It is given that mt = 5 ms. t and s are supplementary angles by the Linear Pair Theorem. By the definition of supplementary angles, mt + ms = 90. By the Substitution Property of Equality, 5 ms + ms = 90. By simplification, 6 ms = 90. By the Division Property of Equality, ms = 30. It is given that mt = 5 ms. t and s are supplementary angles by the Linear Pair Theorem. By the definition of
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