Question

In the given figure, AOB = BOC = COD. IS AOC congurent to BOD? Why?​

Answer 1

Answer:

Let <AOB = <BOC = <COD = x

x+x = x + x

<AOB + <BOC = <BOC + <COD

<AOC = <BOD

Therefore, <AOC is congruent to <BOD

Hence proved

Answer 2

Answer:

Yes

Step-by-step explanation:

Because,

AOB = BOC

AOB + BOC = AOC

AOB + AOB = BOC + BOC

(2AOB = AOC)

AOC=2BOC

Now,

BOC = COD

BOC + BOC = COD + COD

2 BOC = 2 COD

(2COD = BOD)

2 BOC = BOD

So Finally,

AOC = BOD

(because 2BOC = 2BOC)

Hence AOC ≅ BOD.