Question

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

Answer 1

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

Answer 2

Answer:

angle aoc +angle boc = 180⁰ by linear angle property

then, 180+ angle bod = 338⁰

bod = 338-180 = 158⁰

bod + boc= 180

180- 158 = boc

22⁰ = boc

boc = aod = 22⁰ by opposite angle of intersecting lines

and

bod = aoc = 158⁰