Angle Measures of Polygons Answers
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1
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Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?
A
68°B
78°C
88°D
98°2
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Which polygon has an interior angle sum of 1080°?
A
A polygon has 8 sides.
B
A polygon has 10 sides.
C
A polygon has 9 sides.
D
A polygon has 7 sides.
3
Polygon A B C D E has 5 sides.
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.4
A polygon with 7 sides is shown. An angle goes inside of the shape.
A
convex heptagonB
concave heptagonC
concave octagonD
convex octagon
6
What is the measure of each interior angle of a regular octagon?
A
45ºB
60ºC
120ºD
135º7
Which statements are true about the regular polygon? Select three options.
A
The sum of the measures of the interior angles is 900°.B
Each interior angle measures 108°.C
All of the angles are congruent.D
The polygon is a regular hexagon.E
The sum of the measures of the interior angles is 180(5 – 2)°.8
A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees.
A
100°B
120°C
130°D
150°9
What is the sum of the measures of the interior angles of a 12-gon?
A
1620°B
1800°C
1980°D
2160°10
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
A
x = 8B
x = 10C
x = 13D
x = 18Did you find these answers helpful?
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