EXAMPLE 1
description
Transcript of EXAMPLE 1
![Page 1: EXAMPLE 1](https://reader036.fdocuments.net/reader036/viewer/2022083006/56813f17550346895da9abe0/html5/thumbnails/1.jpg)
EXAMPLE 1 Identifying Figures
It is not a polygon. The bottom edge does not have line segments.
a. It is a regular polygon. Its angles have equal measures, and its sides have equal lengths.
b.
Is the bottom of the box a polygon, a regular polygon, or not a polygon? Explain.
![Page 2: EXAMPLE 1](https://reader036.fdocuments.net/reader036/viewer/2022083006/56813f17550346895da9abe0/html5/thumbnails/2.jpg)
SOLUTION
EXAMPLE 2 Finding an Angle Measure
A regular octagon has 8 sides, so n = 8.o
(n – 2) 180n
=o
(8 – 2) 1808
=8
1080o
= 135o
Substitute 8 for n.
Simplify numerator.
Divide.
The measure of one angle in a regular octagon is 135.
ANSWERo
Find the measure of one angle in a regular octagon.
![Page 3: EXAMPLE 1](https://reader036.fdocuments.net/reader036/viewer/2022083006/56813f17550346895da9abe0/html5/thumbnails/3.jpg)
GUIDED PRACTICE for Examples 1 and 2
1. Find the sum of the angle measures in a 9-gon.
ANSWER
The sum of angle measures in a 9-gon is 1260 .o
![Page 4: EXAMPLE 1](https://reader036.fdocuments.net/reader036/viewer/2022083006/56813f17550346895da9abe0/html5/thumbnails/4.jpg)
GUIDED PRACTICE for Examples 1 and 2
2. Find the measure of one angle in a regular heptagon. Round to the nearest tenth of a degree.
ANSWER
The measure of one angle in a regular heptagon is 128.6 .
o