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Given :- AOB is a staight line .
Angle AOC = 40° , Angle COD = 4x° and Angle BOD = 3x°
To find :- Angle COD
Solution :- Angle AOC + Angle COD + Angle BOD = 180° ... ( These three angles together form supplementary angle )
So , 40° + 4x° + 3x° = 180° ... ( from given )
So , 40° + 7x° = 180°
So , 7x° = 180° - 40°
So , 7x° = 140°
So , x = 140 / 7
So , x = 20
Therefore , Angle COD = 4x° = 4× 20 = 80°
Therefore , Option A ( 80° ) is the correct answer.
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