Question

which angle in the shape is obtuse? ∠j ∠l ∠k ∠m

Explanation:

Step1: Recall obtuse angle definition

An obtuse angle is greater than \(90^\circ\) and less than \(180^\circ\). Right angles are \(90^\circ\), acute are less than \(90^\circ\).

Step2: Analyze each angle

• \(\angle J\) and \(\angle M\): The shape has vertical sides (JM) and horizontal (JK, ML), so these are right angles (\(90^\circ\)).
• \(\angle L\): In the trapezoid - like shape, \(\angle L\) is part of the triangular - looking side, so it's acute (less than \(90^\circ\)).
• \(\angle K\): At vertex K, the angle between JK (horizontal) and KL (slanted) opens more than \(90^\circ\) (since it's the angle connecting the horizontal top to the slanted side going down to L), so it's obtuse.

Answer:

\(\angle K\)