Answer:
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
