How do I find angle ABC?

Sin-chan

New member
Here is one of the problems in our homework:

ABCD is incribed in circle O. If ?BAD=60° and ?ADB=55°, find ?BCD and ?ABC.

After solving for a while, I got the following:

?BCD=120°
?ABD=65°
arc BA=110°
arc AD= 130°
arc BCD=120°

But I can't seem to find ?ABC. The problem says nothing about anything being a diameter.
 
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