In the given figure,if angleAOC+angeBOC+angleBOD=326°,find all the four angles
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Answer:
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
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