Obtuse Triangle Analysis: Visual Angle Measurement Challenge

Does the diagram show an obtuse triangle?

To determine if the triangle in the diagram is obtuse, we will visually assess the angles:

• Step 1: Identify the angles in the diagram. The triangle has three angles, with one angle appearing between the horizontal base and the left slanted side.
• Step 2: Evaluate the angle between the base and the left side. If it opens wider than a right angle, it's considered obtuse. This angle seems to be greater than $90^\circ$, indicating obtuseness.
• Step 3: Conclude based on visual inspection. Since this key angle is greater than $90^\circ$, the triangle must be an obtuse triangle.

Therefore, the solution to the problem is Yes; the diagram does show an obtuse triangle.