Question

determine if triangle $klm$ and triangle $nop$ are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)
answer attempt
are
are not
the triangles $\boldsymbol{vee}$ similar.

Explanation:

Step1: Find missing angle in △KLM

The sum of angles in a triangle is $180^\circ$.
$\angle L = 180^\circ - 53^\circ - 55^\circ = 72^\circ$

Step2: Check side ratios of paired sides

For sides adjacent to the $55^\circ$ angle:
$\frac{MK}{PO} = \frac{12}{50} = \frac{6}{25}$, $\frac{ML}{PN} = \frac{12}{60} = \frac{1}{5}$

Step3: Compare ratios and angles

The ratios of the sides adjacent to the congruent $55^\circ$ angles are not equal, so the SAS similarity criterion is not satisfied. No other similarity criteria (AA, SSS) apply here.

Answer:

The triangles are not similar.