   Chapter P.CR, Problem 41CR 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

In the figure, m ∠ A B C = 63 ° and m ∠ A B D = 39 ° . Find m ∠ D B C . To determine

To find:

The measure of DBC.

Explanation

Approach:

Adjacent angles are two angles that have a common vertex and a common side.

If two angles are adjacent to each other, then the sum of those two angles is equal to the greater angle formed by the two angles.

Procedure:

In the given diagram, it can be seen that point B is the common vertex and BD- is the common arm for both angles ABD and DBC. Hence, the two angles are adjacent to each other.

If the angles are adjacent to each other, then measure of ABC is equal to sum of measures of both the angles ABD and DBC

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