A decorative panel consists of rhombus $ABCD$ and isosceles triangle $ABE$, where $AE=BE$

Question

A decorative panel consists of rhombus $ABCD$ and isosceles triangle $ABE$, where $AE=BE$. Side $DC$ is extended beyond $C$ to $F$. It is given that $$\angle DAB=64^\circ,\qquad \angle BAE=52^\circ.$$ Find the following angles, giving reasons for your answers. $\angle BCF$. [1] $\angle AEB$. [2] Reflex $\angle CBE$. [3]

Accepted Answer

(a) $116^\circ$ (b) $76^\circ$ (c) $192^\circ$

Polygons - Properties of Special Quadrilaterals

Polygons - Properties of Special Quadrilaterals

Solution:

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