Question

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

Explanation:

Step1: Calculate ∠L in △LMN

Sum of angles in a triangle is $180^\circ$.
$\angle L = 180^\circ - 115^\circ - 21^\circ = 44^\circ$

Step2: Calculate ∠Q in △PQR

Sum of angles in a triangle is $180^\circ$.
$\angle Q = 180^\circ - 49^\circ - 21^\circ = 110^\circ$

Step3: Compare all triangle angles

△LMN angles: $115^\circ, 21^\circ, 44^\circ$
△PQR angles: $49^\circ, 21^\circ, 110^\circ$
No three matching angle pairs exist.

Answer:

$\Delta LMN$ is not similar to $\Delta PQR$.