In the figure below, $ABCD$ is a rectangle. $O$ the point of intersection of diagonals $AC$ an

Question

In the figure below, $ABCD$ is a rectangle. $O$ the point of intersection of diagonals $AC$ and $BD$. Produce $BC$ to $E$, such that $DB = DE$. Given that angle $DAO = 40^\circ$, find the sizes of angle $BCO$, angle $BOC$, angle $DOC$, angle $CED$. Hence, determine the type of quadrilateral $ACED$, stating your reasons clearly.

Accepted Answer

(a) $\angle BCO=40^\circ$ (b) $\angle BOC=100^\circ$ (c) $\angle DOC=80^\circ$ (d) $\angle CED=40^\circ$ (e) $ACED$ is a parallelogram

Triangles and Quadrilaterals

Triangles and Quadrilaterals

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