Answer:
Explanation:
I'm going to try to format this in the best way possible, but forgive me if it isn't perfect.
Statment: Reason
JK = NK: Given
JA = NA: Definition of a midpoint
Triangle NJK is isosceles: Definition of an isosceles triangle
m<J = m<N: Base angle converse theorem
AK = KA: Reflexive property
m<NKA = m<JKA: The Isosceles Decomposition Theorem (If midpoint, also angle bisector in an isosceles triangle)
m<JAK = m<NAK: The isosceles Decomposition theorem (If midpoint, also altitude in an isosceles triangle)
Triangle JAK = Triangle NAK: SAS, SSS, ASA, and AAS (All the angles and sides were congruent to one another, so you can use every shortcut in this case)
Stuff that isn't required on there:
What we can conclude from this is that in an isosceles triangle, if there is a midpoint from the angle that's not a base angle, then the two triangles it creates are congruent.
Please let me know if you have any questions.