   Chapter 6.2, Problem 1E 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: m A B ⌢ = 92 ° m D A ⌢ = 114 ° m B C ⌢ = 138 ° Find: a) m ∠ 1( ∠ D A C ) b) m ∠ 2 ( ∠ A D B ) c) m ∠ 3 ( ∠ A F B ) d) m ∠ 4 ( ∠ D E C ) e) m ∠ 5 ( ∠ C E B ) To determine

(a)

To find:

m1 (DAC) when mAB=92°, mDA=114° and mBC=138°.

Explanation

Corollary:

The measure of an angle formed by a tangent and a chord drawn to the point of tangency is one-half the measure of the intercepted arc.

Calculation:

m1 (DAC).

mAB=92°, mDA=114° and mBC=138°.

By corollary,

m1=12(mCD)

mAB+mBC+mCD

To determine

(b)

To find:

m2 (ADB) when mAB=92°, mDA=114° and mBC=138°.

To determine

(c)

To find:

m3 (AFB) when mAB=92°, mDA=114° and mBC=138°

To determine

(d)

To find:

m4 (DEC) when mAB=92°, mDA=114° and mBC=138°.

To determine

(e)

To find:

m5 (CEB) when mAB=92°, mDA=114° and mBC=138°.

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