Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 276: 20

Answer

Each arc has a measure of 120$^{\circ}$. The three points will form an equilateral triangle.

Work Step by Step

A circle has 360$^{\circ}$, divide this into three congruent arcs and each one will measure 120$^{\circ}$. The inscribed angles across from these arcs will be equal to half the measure of the arc, which is 60$^{\circ}$. A triangle with 3 angles equal to 60$^{\circ}$ is an equilateral triangle.
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