Question

question
determine if triangle lmn and triangle opq are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)
answer attempt 1 out of 2
the triangles
similar.
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Explanation:

Step1: Calculate angle N in △LMN

Sum of angles in triangle is 180°.
$∠N = 180° - 54° - 60° = 66°$

Step2: Calculate angle P in △OPQ

Sum of angles in triangle is 180°.
$∠P = 180° - 54° - 66° = 60°$

Step3: Compare angles of both triangles

△LMN angles: 54°, 60°, 66°
△OPQ angles: 54°, 60°, 66°
All corresponding angles are equal.

Answer:

The triangles are similar by AA (Angle-Angle) similarity criterion.