In mathematical reasoning, a statement that results immediately from a proposition that has already been demonstrated as a clear consequence.

A corollary is a simple proposition that results from the proposition demonstrated by reasoning.


Here is a proposition:

The measure in degrees of an inscribed angle is equal to half of the measure in degrees of the arc intercepted on the circle by its sides.

If m\(\stackrel{\frown}{\textrm{AB}}\) = 84,

then m\(∠{\textrm{ABC}}\) = 42.

A corollary resulting from this proposition would be:

Every inscribed angle in a half-circle is a right angle.

m\(∠{\textrm{ABC}}\) = 90.

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