Provide the missing statement and reasons for the following proof: 3 4 Given: mz1+ m22 = m24 Prove: m23 + m21 + mZ2 = 180° Statement Reason S1. mz1 + mz2 = m24 R1. Given S2. 23 and 24 form a Linear Pair R2. Definition of Linear Pair S3. 23 and 24 are supplementary R3. S4. R4. Definition of supplementary S5. m23 + mz1 + mz2 = 180° R5.

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
icon
Related questions
Question

Please answer this question. 

Provide the missing statement and reasons for the following proof:
3 4
Given: m21+ m22 = m24
Prove: m23 + m21+ mZ2
= 180°
Statement
Reason
S1. m21 + mz2 = m24
R1. Given
S2. 23 and 4 form a Linear Pair
R2. Definition of Linear Pair
S3. 23 and 24 are supplementary
R3.
S4.
R4. Definition of supplementary
S5. m23 + mz1 + m22 = 180°
R5.
Transcribed Image Text:Provide the missing statement and reasons for the following proof: 3 4 Given: m21+ m22 = m24 Prove: m23 + m21+ mZ2 = 180° Statement Reason S1. m21 + mz2 = m24 R1. Given S2. 23 and 4 form a Linear Pair R2. Definition of Linear Pair S3. 23 and 24 are supplementary R3. S4. R4. Definition of supplementary S5. m23 + mz1 + m22 = 180° R5.
(12x + 20)°
(11x + 23)
Given: ZBDA = ZA
Prove: x = 3
Statement
Reason
S1. LBDA S LA
R1. Given
S2. ZBDA = LCDE
R2.
S3. ZCDE = LA
R3. Transitive Property of Congruence
S4. M2CDE = mLA
R4.
S5.
R5. Substitution Property of Equality
S6. 12x = 11x + 3
R6.
S7. x = 3
R7. Subtraction Property of Equality
Transcribed Image Text:(12x + 20)° (11x + 23) Given: ZBDA = ZA Prove: x = 3 Statement Reason S1. LBDA S LA R1. Given S2. ZBDA = LCDE R2. S3. ZCDE = LA R3. Transitive Property of Congruence S4. M2CDE = mLA R4. S5. R5. Substitution Property of Equality S6. 12x = 11x + 3 R6. S7. x = 3 R7. Subtraction Property of Equality
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning