The diagram shows a convex polygon. 143° a+22° 5a 14a-45° What is the value of a?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The diagram shows a convex polygon. What is the value of a.
The diagram shows a convex polygon.
143°
a+22°
5a
14a-45°
What is the value of a?
%3D
Transcribed Image Text:The diagram shows a convex polygon. 143° a+22° 5a 14a-45° What is the value of a? %3D
Expert Solution
Step 1

Given that a figure of convex polygon.

Find the value of a in the given figure.

 

 

 

 

A convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon.

The sum of exterior angle and interior angle equals 180°.

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