In the figure below, $AB$ is parallel to $CD$, $BD$ is perpendicular to $CD$, and $AE$ is

Question

In the figure below, $AB$ is parallel to $CD$, $BD$ is perpendicular to $CD$, and $AE$ is perpendicular to $EG$. The point $C$ is on $AE$, and the points $D$, $F$ are on $EG$. Given that angle $BAC = 65^\circ$ and angle $DBF = 25^\circ$. Find the sizes of angle $DCE$, angle $ABD$, angle $BDF$. Hence find the relationship between line segments $AE$ and $BF$.

Accepted Answer

(i) $65^\circ$ (ii) $90^\circ$ (iii) $65^\circ$ Hence $AE\parallel BF$.

Angles Formed by Two Parallel Lines and a Transversal

Angles Formed by Two Parallel Lines and a Transversal

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