Subjects geometry

Parallelogram Measurements C76189

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1. **State the problem:** We are given a parallelogram ABCD with side AB = 5 units, side BC = 3 units, and angle at vertex B = 60°. 2. **Recall properties of parallelograms:** Opposite sides are equal and parallel, and opposite angles are equal. Adjacent angles are supplementary (sum to 180°). 3. **Find the remaining sides:** Since ABCD is a parallelogram, - Side AD = BC = 3 units - Side CD = AB = 5 units 4. **Find the remaining angles:** Angle B = 60°, so angle D (opposite angle) = 60°. Adjacent angles are supplementary, so $$\text{Angle A} = 180^\circ - 60^\circ = 120^\circ$$ $$\text{Angle C} = 120^\circ$$ 5. **Summary of measurements:** - AB = 5 units - BC = 3 units - CD = 5 units - DA = 3 units - Angle A = 120° - Angle B = 60° - Angle C = 120° - Angle D = 60° This completes the measurements of the parallelogram.