Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Section 6.3 - Line and Segment Relationships in the Circle - Exercises - Page 295: 1

Answer

30$^{\circ}$

Work Step by Step

If CD=OC and OC=OD, then CD=OD. Since all three sides are congruent, COD is an equilateral triangle. The altitude of an equilateral triangle splits it into two 30 60 90 triangles, therefore, m$\angle$COE is equal to 30$^{\circ}$. The measure of an arc is equal to the measure of the central angle that intercepts it, therefore arc CF=30$^{\circ}$.
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