   Chapter 6.4, Problem 27E 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 In ⊙ O , m ∠ A O B = 70 ° and m ∠ B O C = 30 ° . See the figure above.a) How are m A B ⌢ and m B C ⌢ related?b) How are A B and B C related?

To determine

(a)

To find:

The relation between mAB and mBC.

Explanation

Given:

O, mAOB=70° and mBOC=30°. The figure given below

Theorem Used:

According to the following theorem

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

Calculation:

Using the theorem:

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

Since the angles mAOB=70° and mBOC=30° are unequal and mBOC<mAOB and from the given figure,

To determine

(b)

To find:

The relation between AB and BC.

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