   Chapter 6.2, Problem 16E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
15 views

# Given: m ∠ 1 = 71 ° m ∠ 2 = 33 ° Find: m C E ⌢ and m B D ⌢ Exercises 16, 17

To determine

To find:

mCE and mBD when m1=71°,m2=33°

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=71°,m2=33°

By Theorem

m1=12(mCE+mBD)71°=12(x+y)x+y=2(71°)x+y=142°

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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