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MCQ

Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =

#### Options

63°

117°

17°

153°

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#### Solution

Let us draw the following diagram showing two lines AB and CD intersecting each other at a point O.

Let the required angle ∠BOC measures x°.

Also, ∠BOCand ∠BODform a linear pair. Therefore, their sum must be equal to 180°.

That is,

∠BOC +∠BOD = 180°

It is given that. ∠BOD = 63°Substituting, this value above, we get:

∠BOC +63° = 180°

∠BOC = 180° - 63°

∠BOC =117°

Concept: Introduction to Lines and Angles

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