QUESTION IMAGE
Question
i am a parallelogram. i have 2 acute angles.
Step1: Recall parallelogram properties
A parallelogram has opposite sides parallel and equal. Also, in a parallelogram, consecutive angles are supplementary ($\angle A+\angle B = 180^{\circ}$).
Step2: Analyze angles in different shapes
- Square (red): All angles are right angles ($90^{\circ}$), so no acute angles.
- Trapezoid (lower - left green): It is not a parallelogram (only one pair of parallel sides in a trapezoid).
- Rectangle (lower - right green): All angles are right angles ($90^{\circ}$), so no acute angles.
- Parallelogram (upper - left green): Let the angles be $\angle A$ and $\angle B$. Since it is a parallelogram, if we assume $\angle A<90^{\circ}$ (acute), then $\angle B = 180^{\circ}-\angle A>90^{\circ}$ (obtuse). A parallelogram has two acute and two obtuse angles (except for rectangles and squares which are special cases of parallelograms with right angles).
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The green parallelogram (upper - left one)