AnswersSTPSB_Geometry 2627 TreigleAngle Measures of Polygons

Angle Measures of Polygons Answers

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Complete the statement.

Answers:
The polygon is and is .:convex
The polygon is and is .:convex
3

180n360n180(n – 1)✔ 180(n – 2)

A
180n
B
360n
C
180(n – 1)
D
✔ 180(n – 2)
4

Complete the missing parts of the paragraph proof.

Answers:
We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle i:n – 3
We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle i:n – 2
We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle i:180
We are given an n-gon, which has n sides and n vertices. If we choose one of the vertices, we can draw diagonals. These diagonals form triangles. The sum of the interior angle measures of a triangle i:180(n – 2)
5

n2nX n – 1✔ n – 2

A
n
B
2n
C
X n – 1
D
✔ n – 2
6

X 6090✔ 180360

A
X 60
B
90
C
✔ 180
D
360
7

How can you best describe a stop sign using polygons?

Answers:
The sign has sides, so it is .:8
The sign has sides, so it is .:an octagon
It appears to be because the sides and angles appear to be congruent.:regular
8

How can you best describe a stop sign using polygons?

Answers:
The sign has sides, so it is .:8
The sign has sides, so it is .:an octagon
It appears to be because the sides and angles appear to be congruent.:regular
9

a hexaxgonX a nonagon✔ an octagona pentagon

A
a hexaxgon
B
X a nonagon
C
✔ an octagon
D
a pentagon
10

concaveirregular✔ regular

A
concave
B
irregular
C
✔ regular

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