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Given: Prove: (1) (3) 1. (6), (9) (10) 2. 3. 4. 21 and 22 are complementary 21 is acute 22 is acute Statements 21 and 22 are complementary m/1 + m/2 = 90 21 is acute Where m/1 = 2, 0

Given: Prove: (1) (3) 1. (6), (9) (10) 2. 3. 4. 21 and 22 are complementary 21 is acute 22 is acute Statements 21 and 22 are complementary m/1 + m/2 = 90 21 is acute Where m/1 = 2, 0

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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*28. In the proof below, provide the missing reasons. 21 and 22 are complementary 21 is acute 22 is acute Given: Prove: (1) (3) (2) (5) (4) (7) (7), (8) (6), (9) (10) 1. 2. 3. 4. 9. Statements 5. 6. 7. -x<0<90- x 8. 90x90 < 180 0 < 90 x 90 21 and 22 are complementary 2 m/1+ m/2 = 90 21 is acute Where m/1 = x, 0 < x < 90 x+m/2 = 90 m/2= 90 x 10. 0m2 < 90 11. 22 is acute PROOF Exercises 29, 30 3 B Reasons 1. ? 2. ? 3. 4. ? ? 5. ? 6. ? 7. ? x 8. ? 9. ? 10. ? 11. ?
Transcribed Image Text:*28. In the proof below, provide the missing reasons. 21 and 22 are complementary 21 is acute 22 is acute Given: Prove: (1) (3) (2) (5) (4) (7) (7), (8) (6), (9) (10) 1. 2. 3. 4. 9. Statements 5. 6. 7. -x<0<90- x 8. 90x90 < 180 0 < 90 x 90 21 and 22 are complementary 2 m/1+ m/2 = 90 21 is acute Where m/1 = x, 0 < x < 90 x+m/2 = 90 m/2= 90 x 10. 0m2 < 90 11. 22 is acute PROOF Exercises 29, 30 3 B Reasons 1. ? 2. ? 3. 4. ? ? 5. ? 6. ? 7. ? x 8. ? 9. ? 10. ? 11. ?
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