Q. 44.5( 10 Votes )

# Which pair of angles are supplementary in the following diagram? Are they supplementary rays?

Answer :

As we know, sum of all angles around a point is 360°. ∠BOC + ∠AOB + ∠AOD + ∠COD = 360°

120° + 50° + ∠AOD + 130° = 360°

∠AOD + 300° = 360°

∠AOD = 360° - 300°

∠AOD = 60°

In this,

∠AOD + ∠BOC = 60° + 120° = 180°

And ∠AOB + ∠COD = 50° + 130° = 180°

These are the pair of supplementary angles. because sum of angles is 180° hence these are supplementary rays.

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