Chapter 6.4, Problem 35E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Prove: In a circle containing two unequal arcs, the longer arc corresponds to the larger central angle.

To determine

**To prove:**

The given statement.

Explanation

**Given:**

The statement,

“In a circle containing two unequal arcs, the longer arc corresponds to the larger central angle.”

Assume

The angle corresponding to arc

**To Prove:**

To prove that the given statement is correct:

“In a circle containing two unequal arcs, the longer arc corresponds to the larger central angle.”

To prove that:

**Property Used:**

According to the following property,

The angle measure of the central angle is congruent to the measure of the intercepted arc.

**Proof:**

Since

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