In the figure below, $ABCD$ is a trapezium, where $AB$ is parallel to $CD$ and $AD = CD$. Pr

Question

In the figure below, $ABCD$ is a trapezium, where $AB$ is parallel to $CD$ and $AD = CD$. Produce $CB$ such that $AB = BE$. Given that angle $ADC = 94^\circ$, angle $ABC = 58^\circ$, answer the following questions: Show that $AC$ is the bisector of angle $BAD$. Find the sizes of angle $AEB$, angle $DAE$, angle $BCD$, angle $ACB$.

Accepted Answer

(a) $AC$ bisects $\angle BAD$ (b) $\angle AEB=29^\circ$ (c) $\angle DAE=115^\circ$ (d) $\angle BCD=122^\circ$ (e) $\angle ACB=79^\circ$

Polygons

Polygons

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