PLEASE HELP ME OUT :)))

Step-by-step explanation:

sorry not gonna do full proof for this but ill give you the general idea

goal: trying to prove <HGJ congruent <KLJ

usually for these problems you have to prove the two triangles and derive the angles from the congruent triangles.

pretend < is the angle symbol its close enough

so try to get triangle GHJ congruent to triangle LKJ

remember order is important !!

-mark up the givens on the triangle, HJ congruent to JK (given)

-J is midpt of GL. (given)

-midpoint divides a segment into 2 congruent parts. therefore GJ congruent to JL (by def midpt, ref line with given)

-can get <GHJ congruent to <LKJ because they are vertical angles (by VAT)

when you draw it, you will see that we have a side, an angle, then another side ! with congruent side, angle, side, you can use SAS congruence postulate to get triangles congruent

-ref all lines with the side angle side, and figure depending on your teacher to get triangles congruent

-derive angle <HGJ congruent <KLJ from congruent triangles

hope this helps

good for u

step-by-step explanation:

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step-by-step explanation: