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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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?

Chapter 6.4, Problem 23E, In circle O, points A, B, and C are on the circle such that mAB=60 and mBC=40. a How are mAOB and

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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