   Chapter 6.3, Problem 33E ### 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
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# The cylindrical brush on a vacuum cleaner is powered by an electric motor. In the figure, the drive shaft is at point D. if m A C ^ = 160 ° , find the measure of the angle formed by the drive belt at point D; that is find m ∠ D To determine

To find:

To find mD.

Explanation

Given that, mAC^=160°.

From the diagrammatic representation,

Let D is vertex outside the circle therefore,

mD=mABC^-mAC^2

Since mABC^=360°-mAC^

Substitute mABC^=360°-mAC^ in the above equation to get he following,

mD=360°-mAC^-mAC^2

mD=

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