AnswersAZ-Geometry A MA201Triangles and Their Side Lengths

Angle Measures of Polygons Answers

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A polygon with 5 sides is shown with its exterior angles. The exterior angles are 62 degrees, 66 degrees, 77 degrees, 59 degrees, and (12 x) degrees.

Question illustration
A
6
B
8
C
10
D
12
2
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A polygon with 7 sides is shown. An angle goes inside of the shape.

Question illustration
A
convex heptagon
B
concave heptagon
C
concave octagon
D
convex octagon
3

The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle?

A
42º
B
56º
C
124º
D
304º
4

A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees.

Question illustration
A
100°
B
120°
C
130°
D
150°
5

A polygon with 6 sides is shown. No angles go inside of the shape.

Question illustration
A
convex heptagon
B
concave heptagon
C
concave hexagon
D
convex hexagon
6

What is the sum of the measures of the interior angles of a 12-gon?

A
1620°
B
1800°
C
1980°
D
2160°
7

Which polygon has an interior angle sum of 1080°?

A
A polygon has 8 sides.
Option A
B
A polygon has 10 sides.
Option B
C
A polygon has 9 sides.
Option C
D
A polygon has 7 sides.
Option D
8

Polygon A B C D E has 5 sides.

Question illustration
A
It is a concave pentagon because segment AE would extend into the inside of the polygon, and it has five sides.
B
It is a convex hexagon because it has six sides and none of the sides would extend into the inside of the polygon.
C
It is a concave hexagon because segment AE would extend into the inside of the polygon, and it has six sides.
D
It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.
9

Which polygon has an interior angle sum of 900°?

A
A polygon has 8 sides.
Option A
B
A polygon has 10 sides.
Option B
C
A polygon has 9 sides.
Option C
D
A polygon has 7 sides.
Option D
10

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

A
x = 8
B
x = 10
C
x = 13
D
x = 18

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