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
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0f1564-a8e8-44a7-a151-b0c418d3300f%2F194419bd-2375-4e63-b2a3-d5a360d52cee%2Famo9ix_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The diagram shows a convex polygon.
143°
a+22°
5a
14a-45°
What is the value of a?
%3D
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given that a figure of convex polygon.
Find the value of 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 .
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