Lines and intersect at point

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines ABAB and CDCD intersect at point OO. A ray OEOE is drawn inside ∠AOC\angle AOC such that ∠AOE=35∘\angle AOE = 35^\circ. Another ray OFOF is drawn inside the vertically opposite angle ∠BOD\angle BOD such that ∠DOF=25∘\angle DOF = 25^\circ. (i) Calculate ∠BOE\angle BOE. (ii) Calculate ∠COD\angle COD. (iii) Calculate ∠DOF\angle DOF. (iv) State with reason whether ∠BOE\angle BOE and ∠DOF\angle DOF are complementary, supplementary, or neither.

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