In the figure below, $DE$ is parallel to $FG$ and $AC$ is parallel to $EF$. The triangle \(A

Question

In the figure below, $DE$ is parallel to $FG$ and $AC$ is parallel to $EF$. The triangle $ABC$ is a right-angled triangle, where $AB$ is perpendicular to $BC$. Given that angle $BAC = 24^\circ$, angle $CDE = 66^\circ$ and angle $EFG = 137^\circ$, find the sizes of angle $ACB$, reflex angle $DEF$, angle $ACD$. Hence prove or falsify $AB$ is parallel to $CD$.

Accepted Answer

(i) $66^\circ$ (ii) $223^\circ$ (iii) $23^\circ$ (iv) $AB\not\parallel CD$

Angles Formed by Two Parallel Lines and a Transversal

Angles Formed by Two Parallel Lines and a Transversal

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