Mathematics
Mathematics, 06.11.2020 22:50, DEVlN6070

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

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 19:30, morganamandro9437
[15 points]find the quotient with the restrictions. (x^2 - 2x - 3) (x^2 + 4x + 3) ÷ (x^2 + 2x - 8) (x^2 + 6x + 8)
Answers: 1
image
Mathematics, 21.06.2019 21:30, izabelllreyes
Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?
Answers: 2
image
Mathematics, 22.06.2019 03:00, milkshakegrande101
The formula for finding volume of a cone 1/3pi x r^2h. the volume of a cone is 300 cm^3 and the height of the cone is 10 what is the approximate radius of the cone
Answers: 1
image
Mathematics, 22.06.2019 03:30, tystar84
The elmina wilson company produces spaghetti sauce that is used in restaurants. the fixed costs total $1,329,050. the selling price per 64 oz. can of sauce is $12.40. the variable cost per can is $4.80. what is the break-even point in number of cans?
Answers: 1
Do you know the correct answer?
Line AB is parallel to EF. Transversal GJ crosses line AB at K and crosses line EF at L. The measure...

Questions in other subjects:

Konu
Mathematics, 06.05.2020 02:32
Konu
Mathematics, 06.05.2020 02:32
Konu
Mathematics, 06.05.2020 02:32
Konu
Biology, 06.05.2020 02:32
Konu
Mathematics, 06.05.2020 02:32
Konu
Advanced Placement (AP), 06.05.2020 02:32