Complete the proof that if parallel lines are cut by a transversal, then same-side exterior angles are supplementary. 1 4 9. 8. Given: m | n Prove: m27 + mZ1 = 180 %3D Statements Reasons 1. m n 1. a. Given 2. Z3 = 27, Z1 = 25 2. b. 3. If two angles are 3. m23 = m27, mZ1 = mZ5 congruent, then they have the same measure. 4. mZ3 + m25 = 180 | 4. c. |3D 5. d. 5. Substitution Property of Equality
Complete the proof that if parallel lines are cut by a transversal, then same-side exterior angles are supplementary. 1 4 9. 8. Given: m | n Prove: m27 + mZ1 = 180 %3D Statements Reasons 1. m n 1. a. Given 2. Z3 = 27, Z1 = 25 2. b. 3. If two angles are 3. m23 = m27, mZ1 = mZ5 congruent, then they have the same measure. 4. mZ3 + m25 = 180 | 4. c. |3D 5. d. 5. Substitution Property of Equality
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![Complete the proof that if parallel lines are cut by a
transversal, then same-side exterior angles are
supplementary.
m
1
4
9.
Given: m || n
Prove: m27 + mZ1 = 180
Satements
Reasons
1. т | п
1. a. Given
2. Z3 = 27, Z1 = Z5 2. b.
3. m23 = m27,
3. If two angles are
congruent, then
they have the same
m25
measure.
4. m23 + mZ5 = 180 | 4. c.
5. d.
5. Substitution
Property of Equality](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff448d607-f83b-4d40-84fd-5a6de709730f%2Fb0e8f7ce-9f3e-4088-942e-48f3606403ac%2Fz4pxnas_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete the proof that if parallel lines are cut by a
transversal, then same-side exterior angles are
supplementary.
m
1
4
9.
Given: m || n
Prove: m27 + mZ1 = 180
Satements
Reasons
1. т | п
1. a. Given
2. Z3 = 27, Z1 = Z5 2. b.
3. m23 = m27,
3. If two angles are
congruent, then
they have the same
m25
measure.
4. m23 + mZ5 = 180 | 4. c.
5. d.
5. Substitution
Property of Equality
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