Question

In a quadrilateral ABCD,$\angle A={30}^{\circ },\angle B={150}^{\circ },\angle C={30}^{\circ }\text{and}$ $\angle D={150}^{\circ }$
Then ABCD is a

• A. Rectangle
• B. Trapezium
• C. Kite
• D. Parallelogram

Answer 1

The correct option is D Parallelogram

In ABCD the pairs of oppposite angles of ABCD are equal. So, ABCD is a parallelogram.

Among the options, the quadrilateral ABCD can be either 'Rectangle' or 'Parallelogram'. [$\because$ Rectangle is also a parallelogram]

In rectangle all angles are of ${90}^{\circ }$ but in the quadrilateral ABCD all angles are not equal to ${90}^{\circ }$. So, ABCD is not a rectangle.

Hence, ABCD is a parallelogram