In the figure below, $ABCD$ is a rhombus. Produce $CB$ to $E$ such that $BD = BE$. Given tha

Question

In the figure below, $ABCD$ is a rhombus. Produce $CB$ to $E$ such that $BD = BE$. Given that angle $BCD = 60°$, find the sizes of angle $ADB$, angle $ABC$, angle $BED$, angle $BFE$. Determine the type of triangles $ABD$ and $BCD$. Construct the line $AE$. Determine the type of quadrilateral $AEBD$, stating your reasons clearly.

Accepted Answer

(a) $60^\circ$ (b) $120^\circ$ (c) $30^\circ$ (d) $90^\circ$ (e) Triangles $ABD$ and $BCD$ are equilateral (f) $AEBD$ is a rhombus

Triangles, Quadrilaterals

Triangles, Quadrilaterals

Video Solution:

Solution:

Solution locked