given two rays why is it ok to idenify the angle formed both in the following ways<b <abc

given two rays as pictured why is it ok to identify the anglemformed in both ways ,b ,abc
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Two rays AB and BC meet at point B. There are no other lines so ∠B isn't ambiguous, because there is only one (non-reflex) angle at B. ∠ABC sandwiches the angle B between two identified sides and to avoid confusion in the event of there being another ray passing through B, it's more specific than just writing ∠B.

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