Chapter 12.5, Problem 42E

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12th Edition

Dale Ewen

ISBN: 9781337630580

Textbook Problem

Exercises 41–44 refer to Illustration 16.

*and*

*are secants;*

*and*

*are chords.*

**ILLUSTRATION 16**

Suppose

To determine

**To calculate:** The measure of

Explanation

**Given Information:**

A circle in which

**Formula used:**

The measure of an inscribed angle in a circle is equal to one-half the measure of its intercepted arc.

The exterior angle of a triangle is equal to the sum of interior opposite angles.

**Calculation:**

Consider the figure,

Here,

Similarly,

Further, the measure of an inscribed angle in a circle is equal to one-half the measure of its intercepted arc.

So, the measure of

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