   Chapter 6.1, Problem 11E 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: ⊙ Q  in which m A B ⌢ : m B C ⌢ : m C A ⌢ = 2 : 3 : 4 Find: a) m A B ⌢ b) m B C ⌢ c) m C A ⌢ d) m ∠ 1( ∠ A Q B ) e) m ∠ 2 ( ∠ C Q B ) f) m ∠ 3 ( ∠ C Q A ) g) m ∠ 4 ( ∠ C A Q ) h) m ∠ 5 ( ∠ Q A B ) i) m ∠ 6 ( ∠ Q B C ) (HINT): Let m A B ⌢ = 2 x , m B C ⌢ = 3 x , and m C A ⌢ = 4 x . )

To determine

a)

To calculate:

The mAB by using the provided figure.

Explanation

Given:

The provided figure is given below where Q in which mAB:mBC:mCA=2:3:4.

Definition:

Since, the sum of the measures of the consecutive arcs that form a circle is 360o.

Calculation:

Let, the ratio in the form given below:

mAB=2xmBC=3xmCA=4x

Since, the sum of the measures of the consecutive arcs that form a circle is 360o.

To determine

b)

To calculate:

The mBC by using the provided figure.

To determine

c)

To calculate:

The mCA by using the provided figure.

To determine

d)

To calculate:

The m1(AQB) by using the provided figure.

To determine

e)

To calculate:

The m2(CQB) by using the provided figure.

To determine

f)

To calculate:

The m3(CQA) by using the provided figure.

To determine

g)

To calculate:

The m4(CAQ) by using the provided figure.

To determine

h)

To calculate:

The m5(QAB) by using the provided figure.

To determine

i)

To calculate:

The m6(QBC) by using the provided figure.

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