   Chapter 6.2, Problem 17E 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 ∠ 1 = 62 ° m ∠ 2 = 26 ° Find: m C E ⌢ and m B D ⌢ Exercises 16, 17

To determine

To find:

mCE and mBD when m1=62°,m2=26°

Explanation

mCE=xmBD=y

Theorem:

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.

mCE and mBD when m1=62°,m2=26°

By Theorem

m1=12(mCE+mBD)62°=12(x+y)x+y=2(62°)x+y=124°

Theorem:

The measure of an angle formed when two secants intersect at a point outside the circle is one-half the difference of the measures of the two intercepted arc

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