KeerthanaPosted on In △ABC,D\triangle A B C, D△ABC,D and EEE are two mid points of sides ABA BAB and AC\mathrm{AC}AC respectively. If ∠BAC=40∘\angle \mathrm{BAC}=40^{\circ}∠BAC=40∘ and ∠ABC=\angle \mathrm{ABC}=∠ABC= 65∘65^{\circ}65∘ then ∠CED\angle \mathrm{CED}∠CED is : a130° b75° c125° d105° Answer : Option DExplanation : ∠BAC=40∘\angle \mathrm{BAC}=40^{\circ}∠BAC=40∘ ∠ABC=65∘\angle \mathrm{ABC}=65^{\circ}∠ABC=65∘ ∴∠ACB=180∘−40∘−65∘=75∘\therefore \angle \mathrm{ACB}=180^{\circ}-40^{\circ}-65^{\circ}=75^{\circ}∴∠ACB=180∘−40∘−65∘=75∘ DE∥BC\mathrm{DE} \| \mathrm{BC}DE∥BC ∴∠AED=∠ACB=75∘\therefore \quad \angle \mathrm{AED}=\angle \mathrm{ACB}=75^{\circ}∴∠AED=∠ACB=75∘ ∴∠CED=180∘−75∘=105∘\therefore \quad \angle \mathrm{CED}=180^{\circ}-75^{\circ}=105^{\circ}∴∠CED=180∘−75∘=105∘ Rate This:NaN / 5 - 1 votesAdd comment