AnswersGeometryAngle Measures of Polygons

Angle Measures of Polygons — Quiz Answers

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1
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Three interior angles of a quadrilateral measure 55 degrees , 117 degrees , and 120 degrees What is the measure of the fourth interior angle?

A
98 degrees
B
88 degrees
C
68 degrees
D
78 degrees
2
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What is the sum of the measures of the interior angles of a 12 -gon?

A
1800 degrees
B
1620 degrees
C
2160 degrees
D
1980 degrees
3

Which polygon has an interior angle sum of 1080 degrees ?

A
Image with description A polygon with 10 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon with 9 sides and no interior angles greater than 180 degrees.
4

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

A
304 degrees
B
42 degrees
C
56 degrees
D
124 degrees
5

Which polygon has an interior angle sum of 900 degrees ?

A
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 10 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon with 9 sides and no interior angles greater than 180 degrees.
6

Which statements are true about polygons? Choose three correct answers.

A
The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
B
All sides and all angles in a polygon are congruent.
C
The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.
D
If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
E
In a polygon, all segments with a common endpoint are collinear.
7

What is the measure of each interior angle of a regular octagon?

A
60 degrees
B
120 degrees
C
135 degrees
D
45 degrees
8

What is the measure of each exterior angle of a regular hexagon?

A
72 degrees
B
45 degrees
C
60 degrees
D
40 degrees
9

Each exterior angle of a regular decagon has a measure of open paren 3 x plus 6 close paren degrees What is the value of x ?

A
x is equal to 13
B
x is equal to 8
C
x is equal to 18
D
x is equal to 10
10

An interior angle of a regular polygon has a measure of 135 degrees What type of polygon is it?

A
decagon
B
hexagon
C
nonagon
D
octagon
11

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

A
42 degrees
B
304 degrees
C
124 degrees
D
56 degrees
12

What is the measure of each interior angle of a regular octagon?

A
45 degrees
B
135 degrees
C
120 degrees
D
60 degrees
13

Three interior angles of a quadrilateral measure 55 degrees , 117 degrees , and 120 degrees What is the measure of the fourth interior angle?

A
68 degrees
B
78 degrees
C
88 degrees
D
98 degrees
14

Each exterior angle of a regular decagon has a measure of open paren 3 x plus 6 close paren degrees What is the value of x ?

A
x is equal to 8
B
x is equal to 10
C
x is equal to 13
D
x is equal to 18
15

Which polygon has an interior angle sum of 900 degrees ?

A
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 9 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon with 10 sides and no interior angles greater than 180 degrees.
16

An interior angle of a regular polygon has a measure of 135 degrees What type of polygon is it?

A
decagon
B
hexagon
C
octagon
D
nonagon
17

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

A
1800 degrees
B
1980 degrees
C
1620 degrees
D
2160 degrees
18

What is the measure of each exterior angle of a regular hexagon?

A
72 degrees
B
60 degrees
C
45 degrees
D
40 degrees
19

Which polygon has an interior angle sum of 1080 degrees ?

A
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 9 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 10 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
20

Which statements are true about polygons? Choose three correct answers.

A
If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.
B
In a polygon, all segments with a common endpoint are collinear.
C
All sides and all angles in a polygon are congruent.
D
The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.
E
The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.

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