Question

In the 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

_________________________


Hope this helps you.....

Answer 2

This is the solution of your question. I hope that it will help you.