   Chapter 6.1, Problem 9E 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

Given: A O ¯ ⊥ O B ¯  and  O C ¯  bisects  A C B ⌢  in  ⊙ O Find: a) m A B ⌢ b) m A C B ⌢ c) m B C ⌢ d) m ∠ A O C

To determine

(a)

To Find:

If AO¯OB¯ and OC¯ bisects ACB in O find mAB.

Explanation

Given:

The provided figure is given below:

Postulate used:

Central angle postulate:

In a circle, the degree of a central angle is equal to the degree measure of its intercepted arc.

Calculation:

Since, AO¯OB¯ then mAOB=90o.

Therefore, in a circle, the degree of a central angle is equal to the degree measure of its intercepted arc

To determine

(b)

To Find:

If AO¯OB¯ and OC¯ bisects ACB in O find mACB

To determine

(c)

To Find:

If AO¯OB¯ and OC¯ bisects ACB in O find mBC.

To determine

(d)

To Find:

If AO¯OB¯ and OC¯ bisects ACB in O find mAOC.

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