   Chapter 6.4, Problem 25E 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 circle O , points A , B , and C are on the circle such that m A B ⌢ = 60 ° and m B C ⌢ = 40 ° .a) How are m ∠ A O B and m ∠ B O C related?b) How are A B and B C related? To determine

(a)

To find:

The relation between mAOB and mBOC.

Explanation

Given:

Circle O and points A, B, and C are on the circle such that mAB=60° and mBC=40°. The figure given below

Theorem Used:

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

Calculation:

Using the theorem:

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

Since the arcs mAB=60° and mBC=40°

To determine

(b)

To find:

The relation between AB and BC.

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