Question

quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. what is bc? what is m∠bcd? what is ab? what is eb?

Explanation:

Step1: Recall parallelogram properties

In a parallelogram, opposite - sides are equal and opposite - angles are equal. Also, the diagonals of a parallelogram bisect each other.

Step2: Find BC

Since opposite sides of a parallelogram are equal and AD = 10 cm, then BC=10 cm.

Step3: Find \(m\angle BCD\)

Opposite angles of a parallelogram are equal. Given \(m\angle DAB = 120^{\circ}\), then \(m\angle BCD=120^{\circ}\).

Step4: Find AB

Since opposite sides of a parallelogram are equal and CD = 5 cm, then AB = 5 cm.

Step5: Find EB

The diagonals of a parallelogram bisect each other. Given DE = 6.1 cm, then EB=DE = 6.1 cm.

Answer:

BC: 10 cm
\(m\angle BCD\): 120°
AB: 5 cm
EB: 6.1 cm