# Corollary

## Corollary

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.

### Example

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.