Question

Inthe given figure, if angle AOC+angle BOC+angle BOD=338° find all the four angles

Answer 1

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


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Hope this helps you.....

Answer 2

Answer:

here is your answer.

Step-by-step explanation:

angle AOC + angle BOC + angle BOD = 338 degrees

=360 - 338

= 22 degrees

angle AOD and BOC = 22 Degrees ( vertically opposite angles)

angle BOC + angle BOD = 180 ( Linear pair)

22 + angle BOD = 180 Degrees

( Transposition Rule )

Angle BOD = 180 - 22

Angle BOD = 158

Angle BOD and Angle AOC = 158 degrees

( Vertically opposite angles)

So...

angle AOC and angle BOD = 158 Degrees

angle BOC and angle AOD = 22 Degrees