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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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