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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Chapter 1.6, Problem 26E, The Angle-Addition Postulate can be generalized as follows: The measure of an angle equals the sum The Angle-Addition Postulate can be generalized as follows: “The measure of an angle equals the sum of measures of its parts.” State a general conclusion regarding m G H K based on the figure shown.

To determine

To state:

The conclusion for mGHK according to the given figure.

Explanation

Given:

The given figure is,

Approach:

The Angle-Addition Postulate is defined as,

“The measure of an angle equals the sum of measures of its parts.”

Calculation:

From the given figure, it can be noticed that point L, M and N divides angle mGHK in four equal parts.

According to the Angle-Addition Postulate the measure of GHK is,

mGHK=mGHL+mLHM+mMHN+mNHK

Substitute 1 for

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