Question

1. In Fig. 6.13, lines AB and CD intersect at O. If
2 AOC + 4 BOE = 70° and BOD = 40°. find
BOE and reflex 2 COE.
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Answer 1

Step-by-step explanation:

Lines AB and CD intersect at O. ∠AOC + ∠BOE = 70° (Given) …(1) ∠BOD = 40° (Given) …(2) Since, ∠AOC = ∠BOD (Vertically opposite angles) Therefore, ∠AOC = 40° [From (2)] and 40° + ∠BOE = 70° [From (1)] ⇒ ∠BOE = 70° – 40° = 30° Also, ∠AOC + ∠BOE + ∠COE = 180° (∵ AOB is a straight line) 70° + ∠COE = 180° [Form (1)] ⇒ ∠COE = 180° – 70° = 110° Now, reflex ∠COE = 360° – 110° = 250° Hence, ∠BOE = 30° and reflex ∠COE /in-the-figure-lines-ab-and-cd-intersect-at-if-aoc-boe-70-and-bod-40-find-boe-and-reflex-coe