Line Segments that Subtends Equal Angles at Two Other Points
Question 1 In...
Question
Question 1 In the given figure, lines AB and CD intersect at O. if ∠AOC+∠BOE=70and∠BOD=40∘,find∠BOE and reflex ∠COE.
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Solution
AB is straight line, rays OC and OE stand on it. ∠AOC+∠COE+∠BOE=180∘ (∠AOC+∠BOE)+∠COE=180∘ 70∘+∠COE=180∘ ∠COE=180∘−70∘=110∘ Reflex∠COE=360∘−110∘=250∘ CD is a straight line, rays OE and OB stand on it. ∠COE+∠BOE+∠BOD=180∘ ⇒110∘+∠BOE+40∘=180∘ ⇒∠BOE=180∘−150∘=30∘