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in Mathematics by (61.9k points)

Two straight lines AB and CD intersect each other at a point O and angle AOC = 50° ; find :

(i) angle BOD

(ii) ∠AOD

(iii) ∠BOC

1 Answer

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(i)∠BOD = ∠AOC

(Vertically opposite angles are equal)

∴ ∠BOD = 50°

(ii) ∠AOD

∠AOD + ∠BOD = 180°

∠AOD + 50° = 180° [From (i)]

∠AOD = 180°- 50°

∠AOD = 130°

(iii) ∠BOC = ∠AOD

(Vertically opposite angles are equal)

∴ ∠BOC =130°

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