In the figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70∘ and ∠BOD=40∘, find ∠BOE and reflex ∠COE . [4 MARKS]
Concept: 1 Mark
Application: 2 Mark
Answer: 0.5 Mark each
Lines AB and CD intersect at O.
∠AOC=∠BOD [Vertically opposite angles]
But ∠BOD=40∘ ..(i) [given]
∠AOC=40∘ ..(ii)
Now,∠AOC+∠BOE=70∘ [Given]
40∘+∠BOE=70∘ [Using (ii)]
∠BOE=70∘−40∘
∠BOE=30∘
Reflex∠COE=∠COD+∠BOD+∠BOE)
Reflex∠COE=180∘+40∘+30∘
Reflex∠COE=250∘