   Chapter 6.CT, Problem 5CT 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 m A B ⌢ = 106 ° and m D C ⌢ = 32 ° , find:a) m ∠ 1 b) m ∠ 2 To determine

(a)

To find:

m1.

Explanation

Theorem used:

The measure of an angle formed by two chords that intersect within a circle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Calculation:

Given:

mAB=106° and mDC=32°.

Consider the given figure,

From the theorem,

To determine

(b)

To find:

m2.

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