Question

what types of angles are in each of these quadrilaterals? acute and obtuse angles acute angles only acute and right angles obtuse angles only

Explanation:

Step1: Recall angle definitions

An acute angle is less than \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\), and a right - angle is exactly \(90^{\circ}\).

Step2: Analyze each quadrilateral

For parallelograms (pink and green) and trapezoids (red), in non - special cases (not rectangles, squares etc.), adjacent angles are supplementary. If one angle is acute (\(<90^{\circ}\)), the adjacent angle is obtuse (\(>90^{\circ}\)). So all three quadrilaterals have acute and obtuse angles.

Answer:

• Pink quadrilateral: acute and obtuse angles
• Red quadrilateral: acute and obtuse angles
• Green quadrilateral: acute and obtuse angles