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

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

black lol

step-by-step explanation:

h

i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: