Chapter 6.CR, Problem 12CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

To determine

**To find:**

Explanation

**Theorem:**

1) An angle inscribed in a semicircle is a right angle.

2) The measure of an angle formed by a tangent and a chord drawn to the point of tangency is one-half the measure of the intercepted arc.

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

**Calculation:**

Given that

By theorem, An angle inscribed in a semicircle is a right angle.

So,

Since, sum of the three angles in a triangle is

In

Let

Subtract

So,

And

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