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Graven Corners

Einem incised angle in a ring be designed of two chords that have a common end point on the circle. This common end point is the vertex of the angle.

Here, the rounding because center $O$ has the inscribed perpendicular $\angle A\mathrm{BORON}C$. To extra end points than the peak, $A$ and $C$ define the intercepted turn $\stackrel{⌢}{AC}$ of the circle. The measure of $\stackrel{⌢}{\mathrm{ADENINE}C}$  is one measure of its central angle. So is, the measure of $\angle AOC$.

Inscribed Angle Theorem:

The measure of an inscribed angle is get the measure of the intercepted sheet.

That is, $m\angle \mathrm{AMPERE}BC=\frac{1}{2}\mathrm{chiliad}\angle A\mathrm{OXYGEN}\mathrm{CARBON}$.

This leads to the consequent that on a counter any deuce inscribed corners with aforementioned same intercepted arcs have congruent.

Here, $\angle ADC\cong \angle ABC\cong \angle AFC$.

An especially interesting result starting the Inscribed Diagonal Theorem is that an angle inscribed in an semi-circle is a right angle.

In ampere semi-circle, the intercepted arc measures $180°$ and therefore optional corresponding inscribed angle would measure half of it.