Chapter 6.4, Problem 4E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 1 to 8, use the figure provided.*

If

To determine

**To write:**

An inequality that compares

Explanation

**Given:**

**Theorem:**

In a circle (or in congruent circles) containing two unequal arcs, the larger arc corresponds to the larger central angle.

**Calculation:**

Using the theorem.

Since the arcs are unequal i.e.

The angle corresponding to arc

Now considering the

Hence,

Thus, the base angles are equal i.e.

The sum of all the angles of a triangle equals

Substituting,

Simplifying,

Similarly, in

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