subject
Mathematics, 14.10.2020 01:01 texas101st78

Line AB is parallel to EF. Transversal GJ crosses line AB at K and crosses line EF at L. The measure of angle ELJ is 120 degrees. Daniel is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how he can show that m∠GKB = 120° by filling in the missing justifications.

Statement Justification
line AB ∥ line EF
m∠ELJ = 120° Given
m∠ELJ + m∠ELK = 180° Linear Pair Postulate
m∠BKL + m∠GKB = 180° Linear Pair Postulate
m∠ELJ + m∠ELK = m∠BKL + m∠GKB Transitive Property
∠ELK ≅ ∠BKL 1.
m∠ELK = m∠BKL 2.
m∠ELJ + m∠ELK = m∠ELK + m∠GKB Substitution Property
m∠ELJ = m∠GKB Subtraction Property
m∠GKB = m∠ELJ Symmetric Property
m∠GKB = 120° Substitution
A 1. Alternate Interior Angles Theorem; 2. Definition of Congruence
B 1. Alternate Exterior Angles Theorem; 2. Substitution Property
C 1. Definition of Congruence; 2. Alternate Interior Angles Theorem
D 1. Substitution Property; 2. Alternate Exterior Angles Theorem

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 19:00
What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2
Answers: 1
question
Mathematics, 21.06.2019 19:30
Acollection of coins has value of 64 cents. there are two more nickels than dimes and three times as many pennies as dimes in this collection. how many of each kind of coin are in the collection?
Answers: 1
question
Mathematics, 21.06.2019 21:30
Which graph has a rate of change of zero
Answers: 1
question
Mathematics, 21.06.2019 22:00
Simplify (4x^2 - 8xy + 2y^2) - (9x^2 - 4xy - 7y^2) a. -5x^2 + 4xy + 9y^2 b. -5x^2 - 4xy + 9y^2 c. -5x^2 + 12xy + 4y^2 d. -5x^2 - 4xy - 5y^2
Answers: 1
You know the right answer?
Line AB is parallel to EF. Transversal GJ crosses line AB at K and crosses line EF at L. The measure...
Questions
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
History, 18.09.2020 20:01
question
History, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Social Studies, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Business, 18.09.2020 20:01
question
Social Studies, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
Mathematics, 18.09.2020 20:01
question
English, 18.09.2020 20:01
Questions on the website: 13722367