   Chapter 6.2, Problem 8E 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 B → and A C → are tangent to ⊙ O , m B C ⌢ = 126 ° Find: a) m ∠ A b) m ∠ A B C c) m ∠ A C B To determine

(a)

To find:

mA when AB and AC are tangent to O, mBC=126°.

Explanation

Theorem:

The measure of an angle formed when two intersecting tangents, then the measure of angle is one-half the difference of the measures of the two intercepted arc.

Calculation:

mA when AB and AC are tangent to O, mBC=126°

mBC+mBDC=360°126°+mBDC=360°

To determine

(b)

To find:

mABC when AB and AC are tangent to O, mBC=126°.

To determine

(c)

To find:

mACB when AB and AC are tangent to O, mBC=126°.

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