   Chapter 6.4, Problem 22E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

a) If m X Y ⌢ > m Y Z ⌢ , write an inequality that compares the measures of inscribed angles 1 and 2 .b) If m ∠ 1 < m ∠ 2 , write and inequality that compares the measures of X Y ⌢ and Y Z ⌢ . To determine

(a)

To write:

An inequality that compares the measures of inscribed angles 1 and 2.

Explanation

Given:

mXY>mYZ and the figure given below

Theorem Used:

According to the following theorem

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

Calculation:

Using following theorem

Since the arcs are unequal i.e. mXY>mYZ and from the given figure

To determine

(b)

To write:

An inequality that compares the measures of XY and YZ.

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