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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