The shapes that have two obtuse angles is required.
The required shapes are 1, 3 and 4.
An angle which is greater than [tex]90^{\circ}[/tex] is called an obtuse angle.
1. The shape is a parallelogram.
[tex]\angle B[/tex] and [tex]\angle D[/tex] are greater than [tex]90^{\circ}[/tex].
So, it does have two obtuse angles.
2. The shape is a rectangle.
Each interior angle is [tex]90^{\circ}[/tex].
So, it does not have any obtuse angles.
3. The shape is a trapezoid.
[tex]\angle A[/tex] and [tex]\angle B[/tex] are greater than [tex]90^{\circ}[/tex].
So, it does have two obtuse angles.
4. The shape is a parallelogram.
[tex]\angle B[/tex] and [tex]\angle D[/tex] are greater than [tex]90^{\circ}[/tex].
So, it does have two obtuse angles.
5. The shape is a trapezoid.
[tex]\angle D[/tex] is greater than [tex]90^{\circ}[/tex].
It has only one angle greater than [tex]90^{\circ}[/tex].
So, it does not have two obtuse angles.
6. The shape is a square.
Each interior angle is [tex]90^{\circ}[/tex]
So, it does not have any obtuse angles.
The numbering and corner points of the shapes are shown in the figure attached.
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