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serious [3.7K]
3 years ago
8

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
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

D

Step-by-step explanation:

jkshkhd

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Answer:

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Step-by-step explanation:

Given

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Required

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Divide both sides by 0.914

\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}

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1.09409190372\ yard = 1\ meter

1\ meter = 1.09409190372\ yard

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

see explanation

Step-by-step explanation:

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