In triangle LWK, an exterior angle at L measure 125 (degrees), and m=W=45 (degrees). Which is the longest Side of the triangle

LW is the longest side

Step-by-step explanation:

The interior angle at L is the supplement of the exterior angle, so is ...

180° - 125° = 55°.

The interior angle at K makes the interior angles sum to 180°, so is ...

180° - 55° - 45° = 80°

Since angle K is the largest angle, opposite side LW will be the longest side.