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Question
In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find ∠AOC,∠COD and ∠BOD.
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Solution
(3x+7)°+(2x−19)°+x°=180° (linear pair)
⇒(6x−12)=180°
⇒6x=192°
⇒x=32°
∴∠AOC=3x+7=3(32)+7=96+7=103°
∠COD=2x−19=2(32)−19=64−19=45°
∠BOD=x°=32°
(3x+7)°+(2x−19)°+x°=180° (linear pair)
⇒(6x−12)=180°
⇒6x=192°
⇒x=32°
∴∠AOC=3x+7=3(32)+7=96+7=103°
∠COD=2x−19=2(32)−19=64−19=45°
∠BOD=x°=32°
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