Question

△jkl and △nml are shown below.
which statement is true?
△jkl is similar to △nml.
△jkl is not similar to △nml.
there is not enough information to determine whether the triangles are similar.

Explanation:

Step1: Find ∠JLK in △JKL

Sum of angles in a triangle is $180^\circ$.
$\angle JLK = 180^\circ - 90^\circ - 49^\circ = 41^\circ$

Step2: Find ∠N in △NML

Sum of angles in a triangle is $180^\circ$.
$\angle N = 180^\circ - 90^\circ - 51^\circ = 39^\circ$

Step3: Compare triangle angle sets

△JKL angles: $90^\circ, 49^\circ, 41^\circ$
△NML angles: $90^\circ, 51^\circ, 39^\circ$
No matching non-right angle pairs.

Answer:

△JKL is not similar to △NML.