In the given figure if angle AOC+ angle BOC+ angle BOD=338° find all the four angles
Attachments:
Answers
Answered by
13
Hello Dear!!!
Here's your 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
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
_________________________
Hope this helps you.....
Here's your 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
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
_________________________
Hope this helps you.....
Answered by
8
This is the solution of your question. I hope that it will help you.
Attachments:
Similar questions