EXAMPLE 1

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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.

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It is not a polygon. The bottom edge does not have line segments. a. b. It is a regular polygon. Its angles have equal measures, and its sides have equal lengths. EXAMPLE 1. Identifying Figures. Is the bottom of the box a polygon , a regular polygon , or not a polygon ? Explain. - PowerPoint PPT Presentation

Transcript of EXAMPLE 1

Page 1: EXAMPLE 1

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

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

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

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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