In the figure below, $DE//FG$, $AC//EF$, and triangle $ABC$ is a right-angled triangle, where&

Question

In the figure below, $DE//FG$, $AC//EF$, and triangle $ABC$ is a right-angled triangle, where $AB\bot BC$. Given that $\angle BAC={{24}^{\circ }}$, $\angle CDE={{66}^{\circ }}$, $\angle EFG={{137}^{\circ }}$, find the sizes of $\angle ACB$, Reflex $\angle DEF$, $\angle ACD$. Hence, state with reasons, whether $AB//CD$.

Accepted Answer

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

IP1U11 HOT Q2

IP1U11 HOT Q2

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