Question

Geometry proof
help please

Answer 1

check the picture below.

so, therefore, the triangles KLJ and NLM have a side, then another adjacent side and an angle in common, Side Side Angle. That means both triangles are congruent, and if they're congruent, so are all of their angles too.

Answer 2

JK = MN because of Given

∠JLK = ∠MLN because of the vertical angle theorem

JL = LN because of definition of midpoint

ΔJLK = MLN because of SAS

∠K = ∠N because corresponding angles of congruent triangles are congruent.

Hope this helps!