Angles and sides in a triangle
First of all it's important to note two important properties of triangles that relates the lengths of their sides and the measures of their angles:
- The shortest side of a triangle is always opposite to the smallest interior angle.
- The longest side of a triangle is always opposite to the largest interior angle.
Triangle KLM
With the two properties listed above we can order the angles of triangle KLM from smallest to largest. The shortest side of KLM is segment MK. Its opposite angle is angle L so this is the smallest angle. The longest side of KLM is segment LM and its opposite angle is K which means that his is the largest angle. This also means that angle M is the angle with the intermediate measure. Then the angles ordered from smallest to largest are:
Then the answer is option B.