In the figure below, $ABCD$ is a right-angled trapezium, where $AD$ is parallel to $BC$ and \(

Question

In the figure below, $ABCD$ is a right-angled trapezium, where $AD$ is parallel to $BC$ and $AB$ is perpendicular to $BC$. $E$ and $F$ are on sides $AD$ and $CD$, respectively. Given that angle $AEB = 40^\circ$, angle $CBF = 16^\circ$ and angle $BCF = 54^\circ$, find the sizes of angle $ABC$, angle $EDF$, angle $EBF$, angle $BFD$.

Accepted Answer

(a) $\angle ABC=90^\circ$ (b) $\angle EDF=126^\circ$ (c) $\angle EBF=24^\circ$ (d) $\angle BFD=70^\circ$

Triangles and Quadrilaterals

Triangles and Quadrilaterals

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