Question

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

Answer 1

LW is the longest side

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.