Chapter 6.1, Problem 37E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 32 to 37, write a paragraph proof.*

If two inscribed angles intercept the same arc, then these angles are congruent.

To determine

**To prove:**

The statement “If two inscribed angles intercept the same arc, then these angles are congruent”.

Explanation

**Given:**

The provided statement is “If two inscribed angles intercept the same arc, then these angles are congruent”.

**Theorem used:**

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

**Proof:**

Consider two inscribed angles intercepted by the same arc.

The pictorial representation is shown below

Here

To prove:

From the figure we see that

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