Which of the following correctly justifies statement 4 of the two-column proof?
given: line jk is parallel to line lm
prove: ∠1 ≅ ∠8

see below.

step-by-step explanation:

the true answer is none of them.

the answer the problem thinks is correct is a. transitive property of equality.

this problem is incorrectly formulated.

in equality, if a = b, and b = c, then a = c by the transitive property of equality.

there is no such property for congruence.

for congruence, there is a theorem that states:

congruence of angles is transitive.

this is a theorem that can be proved.

the true reason for statement 4 is the theorem: congruence of angles is transitive.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.