Acute and obtuse

Geometry Level 2

"When the Angles (with the Saxons) invaded England, they settled in what became known as the Land Debatable, namely the north of England and the south of Scotland. The acute Angles went north and the obtuse ones south."

Consider a triangle. Let $$A$$ be the maximum possible number of acute angles it can have.

Now consider a second triangle. Let $$O$$ be the maximum possible number of obtuse angles it can have.

Find $$A - O$$

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