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Question
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°
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