Write a formal proof of the following theorem. If two parallel lines are cut by a...
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Write a formal proof of the following theorem. If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same side of the transversal are supplementary. Given: Prove: 7. Statements 1. -Select- 2. -Select- 3. --Select-- 4.-Select- 5. m22+ m23 = 180° 6. -Select--- -Select- ---Select-- -Select-- 3 V V V m 3. Ⓒ Reasons -Select- --Select--- 2. The sum of the measures of supplementary 2s is 180 If two zs are as, their measures are Given 4. If the exterior sides of two adjacent 4s form a straight line, the 2s are supplementary. 5. -Select-- 6. Substitution 7. If the sum of the measures of two 2s is 180°, the zs are supplementary. 25 are a. Write a formal proof of the following theorem. 22 3. If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same side of the transversa are supplementary. 4. Given: Prove: Statements -Select--- -Select-- m21 m23 22 is supplementary to 23. 21 is supplementary to 22. m22+ m1 = 180° 21 23 5. m, transversal t 6.-Select- 7.-Select--- 3 -Select-- -Select- m Reasons 1. -Select-- 2. If two ll lines are cut by a transversal, corresponding zs are 2. 3. -Select-- 4. If the exterior sides of two adjacent s form a straight line, the 4s are supplementary. 5. -Select--- 6. Substitution Y 7. If the sum of the measures of two zs is 180°, the zs are supplementary. Write a formal proof of the following theorem. If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same side of the transversal are supplementary. Given: Prove: 7. Statements 1. -Select- 2. -Select- 3. --Select-- 4.-Select- 5. m22+ m23 = 180° 6. -Select--- -Select- ---Select-- -Select-- 3 V V V m 3. Ⓒ Reasons -Select- --Select--- 2. The sum of the measures of supplementary 2s is 180 If two zs are as, their measures are Given 4. If the exterior sides of two adjacent 4s form a straight line, the 2s are supplementary. 5. -Select-- 6. Substitution 7. If the sum of the measures of two 2s is 180°, the zs are supplementary. 25 are a. Write a formal proof of the following theorem. 22 3. If two parallel lines are cut by a transversal, then the pairs of exterior angles on the same side of the transversa are supplementary. 4. Given: Prove: Statements -Select--- -Select-- m21 m23 22 is supplementary to 23. 21 is supplementary to 22. m22+ m1 = 180° 21 23 5. m, transversal t 6.-Select- 7.-Select--- 3 -Select-- -Select- m Reasons 1. -Select-- 2. If two ll lines are cut by a transversal, corresponding zs are 2. 3. -Select-- 4. If the exterior sides of two adjacent s form a straight line, the 4s are supplementary. 5. -Select--- 6. Substitution Y 7. If the sum of the measures of two zs is 180°, the zs are supplementary.
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1 4 3 2 l m 5 let angles 4 5 En figure 24 23 180 supplementary angle opposite angle... View the full answer
Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
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