Question

If the ratio of angles (taken in order) of a quadrilateral is 1:2:3:4, then it could be a

• A. parallelogram
• B. cyclic quadrilateral
• C. kite
• D. trapezium

Answer 1

The correct option is D

trapezium

If we assume the angles to be 1x, 2x, 3x and 4x; we can see that 1x and 4x will add up to ${180}^{\circ }$ and 2x and 3x will also add up to ${180}^{\circ }$. Thus, we can deduce that one pair of opposite sides will be parallel. Hence, it is a trapezium.