   Chapter 6.CR, Problem 23CR 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 that C F ¯ is a tangent to the circle shown: a )     m A B ⌢ = 80 ∘ , m ∠ A E B = 75 ∘ , m C D ⌢ = ? b )     m A C ⌢ = 62 ∘ , m ∠ D E B = 45 ∘ , m B D ⌢ = ? c )     m A B ⌢ = 88 ∘ , m ∠ P = 24 ∘ , m ∠ C E D = ? d )   m ∠ C E D = 41 ∘ , m C D ⌢ = 20 ∘ , ∠ P = ? e )   m ∠ A E B = 65 ∘ , m ∠ P = 25 ∘ , m A B ⌢ = ? , m C D ⌢ = ? f )   m ∠ C E D = 50 ∘ , m A C ⌢ + m B D ⌢ = ? To determine

a) To Find:

mCD

Explanation

Given:

mAc=62andmDEB=45

Calculation:

If two lines intersect outside the circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arc.

Then,

mCD=2(mAEB)</

To determine

b) To Find:

mBD

To determine

c) To Find:

mCED

To determine

d) To Find:

mP

To determine

e) To Find:

mABandmCD

To determine

f) To Find:

mAC+mBD

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