In the figure below, the triangle $CEF$ is an equilateral triangle. $AB$ is parallel to $CD$,

Question

In the figure below, the triangle $CEF$ is an equilateral triangle. $AB$ is parallel to $CD$, where $A$, $E$ and $C$ lie on the same straight line and $B$, $F$ and $C$ lie on the same straight line. Given that angle $DCE = 137^\circ$, find the sizes of angle $DCF$, angle $ABF$, angle $BAE$.

Accepted Answer

(i) $77^\circ$ (ii) $77^\circ$ (iii) $43^\circ$

Angles Formed by Two Parallel Lines and a Transversal

Angles Formed by Two Parallel Lines and a Transversal

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