Question

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

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

Answer 1

The correct option is B

cyclic quadrilateral

If we assume the angles to be 1x, 2x, 4x and 3x; we can see that 1x and 4x will add up to ${180}^{\circ }$ and 2x and 3x will also add up to ${180}^{\circ }$. That is, the opposite angles are supplementary. Hence, it is a cyclic quadrilateral.