1.

13. In the given figure, if angle AOC + angle BOC + angel BOD = 338°, find all the four angles ​

Answer»

Step-by-step explanation:

We know that

Sum of all ANGLES is 360

ANGLE AOC+ angle BOC+ angle BOD + angle AOD = 360

338 + angle AOD = 360

Angle AOD = 360-338

Angle AOD = 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...

We got all the angles...

Angle AOC = 158

Angle BOC = 22

Angle AOD = 22

Angle BOD = 158



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