Question

Plz see the attached figure and solve:-
If ∠AOC + ∠BOC + ∠BOD = 338°,
find all the four angles.​

Answer 1

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Given that ,

Angle AOC+ Angle BOC+ Angle BOD=338°

We know that

Sum of all angles is 360

Angle AOC+ Angle BOC+ Angle BOD + Angle AOD = 360

338 + angle AOD = 360 ( Acc. to Question)

Angle AOD = 360-338 =22

Angle AOD = angle BOC (Because they are vertically opposite angles)

They are equal to 22

And

Angle BOC + angle BOD = 180 ( Because linear pair...sum of those angles will be 180)

22+angle BOD = 180

Angle BOD = 180-22

Angle BOD = 158

Angle BOD = Angle AOC = 158 (Because vertically opposite angles are equal)

• Angle AOC = 158°

• Angle BOC = 22°

• Angle AOD = 22°

• Angle BOD = 158°

Answer 2

Step-by-step explanation:

Angle AOC+Angle BOC+AngleBOD.