Classify a Triangle: Angles A and B Both Less Than 90 Degrees

To solve this problem, we need to identify what type of triangle aligns with having both given angles, Angle A and Angle B, less than $90^\circ$.

• Step 1: Understand that for any triangle, the sum of the internal angles is always $180^\circ$.
• Step 2: Since both Angle A and Angle B are less than $90^\circ$, they are acute. A triangle with two acute angles implies that the third angle should also be acute because all angles should sum up to less than $180^\circ$.
• Step 3: We need to examine available options to determine if any comply with these properties of a triangle.

Now, let's analyze the given choices:

• Choice 1 shows a triangle with a right angle, which contradicts the condition that both Angle A and Angle B are less than $90^\circ$.
• Choice 2 explicitly indicates that none of the options are correct, suggesting no triangle fits the conditions given in the problem statement.
• Choice 3, similarly to Choice 1, can't have two angles being less than $90^\circ$ if one is a right angle.
• Choice 4 again has a right angle, contradicting the initial condition.

All given diagrammatic options have a right angle (based on the SVG descriptions or their right-angled appearance), which directly violates the condition of both Angle A and Angle B being acute.

Therefore, the most appropriate answer is: None of the options.