Question

Determine whether each pair of triangles is similar. Justify your answer.

Answer 1

m<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)

so the third angles must also be equal ( total 180 degrees in each triangle)

Therefor the triangles are similar

Answer 2

Answer with Step-by-step explanation:

We are given that

MN is parallel to JK

In triangle MLN and triangle JLK

Angle JKL=Angle NML

Reason:Alternate interior angles

Angle MNL=Angle KJL

Reason:Alternate interior angles

Triangle MLN is similar to triangle JLK

Reason: By AA postulate

Yes, two triangles JLK and triangle KLN are similar.