Chapter 6.1, Problem 21E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Suppose that a circle is divided by points

To determine

**To Find:**

The measure of each arc. If these points are joined in order, determine the type of quadrilateral results.

Explanation

**Given:**

Since, a circle is divided by points A, B, C, and D into four congruent arcs.

**Definition:**

Congruent arcs:

In a circle, congruent arcs are arcs with equal measures.

Since, the sum of the measures of the consecutive arc that form a circle is

**Calculation:**

Since, in a circle, congruent arcs are arcs with equal measures.

And

Since, the sum of the measures of the consecutive arc that form a circle is

By using the above result we obtain

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