A
12. In the given figure, ray OC is the bisector of
LAOB and OD is the ray opposite to OC.
Show that LAOD = LBOD.
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Answer:
Given OC is the bisector of

Therefore, ∠AOC = ∠COB ______________________ (i)
DOC is a straight line,

+

= 180° _______________ (ii)
Similarly,

+

= 180° ________________ (iii)
From equations (i) and (ii)
⇒

+

=

+

⇒

+

=

+

(from equation (i))
⇒

=

Proved
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