Question

congruent parts
2. In figure, name the angle which is congruent to:
В 2
402
80°
D
(1) ZAOB
(ii) ZBOD
264​

Answer 1

Answer:

ANSWER

In figure, a=b=c

also, ∠AOB=a

∠BOC=b

∠COD=c

∠AOC=∠AOB+∠BOC=a+b⋯⋯(1)

Now ,a+b=c+b⋯⋯[∵a=b=c]

So, from figure,

a+b=c+b=∠COD+∠BOC=∠BOD⋯⋯(2)

hence, from (1) and (2)

∠AOC=∠BOD

That is ∠BOD is congrueBt of ∠AOC