Make sense of problems. Complete the proof. 2 D 3.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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Make sense of problems. Complete the proof.
2
3.
Given: Z1 is supplementary to 22; BD bisects
ZCBE.
Prove: Z1 is supplementary to 23.
A Statements
Reasons
1. BD bisects ZCBE.
1. Given
2. Z2 =43
2. a.
3. m22 = m23
3. Definition of
congruent angles
4. Z1 is supplementary 4. b.
to 2.
5. mZ1+ mZ2 = 180 5. Definition of
supplementary
angles
6. mZ1+ mZ3 = 180
6. c. Subslilulion
%3D
7. d.
7. e.
Transcribed Image Text:Make sense of problems. Complete the proof. 2 3. Given: Z1 is supplementary to 22; BD bisects ZCBE. Prove: Z1 is supplementary to 23. A Statements Reasons 1. BD bisects ZCBE. 1. Given 2. Z2 =43 2. a. 3. m22 = m23 3. Definition of congruent angles 4. Z1 is supplementary 4. b. to 2. 5. mZ1+ mZ2 = 180 5. Definition of supplementary angles 6. mZ1+ mZ3 = 180 6. c. Subslilulion %3D 7. d. 7. e.
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