2. Complete the proof below. 4 Given: AC || BD Prove: m21+ mz2+ m23 = 180°. A Statements Reasons 1. AC || BD 2.21 4,23 45 1. G:ven. 2. 3. 3. Definition of Congruent Angles 4. 24 and LABD are a linear pair 4. 5. 24 and LABD are supplementary 5. 6. 6. Definition of Supplementary Angles 7. m22+ m5 = MLABD 7. 8. mL4+ mz2 + mz5 = 180° 8. %3D 9. mz1+ m2+mL3 = 180° 9.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please solve the algebra proof
2. Complete the proof below.
B D
Given: AC || BD
3
Prove: mL1+ m22+ m43 = 180°.
A
Statements
Reasons
1. AC || BD
9iven
1.
2. 21 4,23 45
2.
3.
3. Definition of Congruent Angles
4. 24 and LABD are a linear pair
4.
5. 24 and LABD are supplementary
5.
6.
6. Definition of Supplementary Angles
7. m22+ m5 = MLABD
8. mL4+ m2+ m25 = 180°
9. m21+ m2+ mz3 = 180°
7.
8.
9.
%3D
Transcribed Image Text:2. Complete the proof below. B D Given: AC || BD 3 Prove: mL1+ m22+ m43 = 180°. A Statements Reasons 1. AC || BD 9iven 1. 2. 21 4,23 45 2. 3. 3. Definition of Congruent Angles 4. 24 and LABD are a linear pair 4. 5. 24 and LABD are supplementary 5. 6. 6. Definition of Supplementary Angles 7. m22+ m5 = MLABD 8. mL4+ m2+ m25 = 180° 9. m21+ m2+ mz3 = 180° 7. 8. 9. %3D
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