Short Answer 
Shapes 1, 3, and 4 have two obtuse angles, while shapes 2, 5, and 6 do not possess two obtuse angles due to their 90-degree angles. The analysis shows that both parallelograms and trapezoids can have multiple obtuse angles in specific configurations.
Step 1: Identify Obtuse Angles
To determine which shapes have two obtuse angles, it’s essential to understand what an obtuse angle is first. An angle is classified as >strong>obtuse if it measures greater than 90 degrees. You will need to analyze the angles of different shapes to see how many obtuse angles they possess.
Step 2: Analyze the Given Shapes
Examine the listed shapes based on their angles:
- Shape 1: A parallelogram with angles B and D both greater than 90 degrees (two obtuse angles).
- Shape 2: A rectangle where all angles are exactly 90 degrees (no obtuse angles).
- Shape 3: A trapezoid with angles A and B greater than 90 degrees (two obtuse angles).
- Shape 4: Another parallelogram like shape 1 (two obtuse angles).
- Shape 5: Another trapezoid with only one obtuse angle D (not two).
- Shape 6: A square with all angles at 90 degrees (no obtuse angles).
Step 3: Conclude the Results
From the analysis, the shapes that have two obtuse angles are shapes 1, 3, and 4. Both the parallelogram and the trapezoid can exhibit multiple obtuse angles in specific setups, while square and rectangle shapes will have none due to their angles being either 90 degrees or below. Therefore, focus on parallelograms and trapezoids for the required criteria.