Why opposite angles in a circle always add up to 180 degrees

Inscribed quadrilaterals proof | Mathematics II | High School Math | Khan Academy · 3:56 · Video: Khan Academy · Watch at the source

In short: This tutorial demonstrates a fundamental geometric proof using the inscribed angle theorem. It explains how specific properties of circles dictate the behavior of shapes drawn within them.

The video features Sal from Khan Academy as he uses a combination of the inscribed angle theorem and algebraic principles to prove a core geometric rule: the opposite angles of an inscribed quadrilateral are supplementary.

By understanding these underlying mechanics, students can see how complex shapes are governed by simple, consistent laws of geometry.

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