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

Answer choices: 1. Alternate Interior Angles Theorem; 2. Definition of Congruence

1. Alternate Exterior Angles Theorem; 2. Substitution Prope

answer: sine

step-by-step explanation:

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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