Question

In the adjacent figure AB is a straight line . Find the value of x and also find angle AOC , angle COD and angle BOD where AOC is (3x+7) COD is 2x-19 DOB is x​

Answer 1

Given :  AB is a straight line .

To Find  : the value of x

∠AOC , ∠COD, ∠DOB

Solution:

∠AOC + ∠COD + ∠DOB = 180°   ( as AB is straight LIne)

∠AOC = 3x + 7

∠COD = 2x - 19

∠DOB = x

∠AOC + ∠COD + ∠DOB = 180°  

=> 3x + 7 + 2x - 19 + x  = 180°

=> 6x  - 12 = 180°

=>  6x   = 192°

=> x = 32

∠DOB = 32°

∠AOC = 3x + 7  = 3(32) + 7 = 103°

∠COD = 2x -19  = 2(32) -19 = 45°

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