Angle Addition

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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Question
1. Given: LABE is a right angle.
Prove: 24 is complementary to 2
D
A
B
3
E
F
C
Statements
Reasons
1. ZABE is a right
angle
2. mLABE = 90°
1.
2.
3. Angle Addition
Postulate
4.
4.
5. Vertical Angles
Theorem
6.
6.
7. Substitution Property
of Equality
7.
8. 4 is
8.
complementary to 2
2.
4.
3.
5.
Transcribed Image Text:1. Given: LABE is a right angle. Prove: 24 is complementary to 2 D A B 3 E F C Statements Reasons 1. ZABE is a right angle 2. mLABE = 90° 1. 2. 3. Angle Addition Postulate 4. 4. 5. Vertical Angles Theorem 6. 6. 7. Substitution Property of Equality 7. 8. 4 is 8. complementary to 2 2. 4. 3. 5.
. Given: 22 is supplementary to 23
Prove: 45 is supplementary to 23
1/2
34
78
Statements
Reasons
1.
2.
3.
5.
5.
6.
8
1.
2.
3.
4,
5.
4.
6.
Transcribed Image Text:. Given: 22 is supplementary to 23 Prove: 45 is supplementary to 23 1/2 34 78 Statements Reasons 1. 2. 3. 5. 5. 6. 8 1. 2. 3. 4, 5. 4. 6.
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