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Polygon Angle Measures Quiz

#1

What is the sum of interior angles in a triangle?

180 degrees
Explanation

The sum of interior angles in any triangle is always 180 degrees.

#2

In a parallelogram, what is the sum of adjacent angles?

180 degrees
Explanation

The sum of adjacent angles in a parallelogram is always 180 degrees.

#3

What is the measure of each interior angle in a regular nonagon?

135 degrees
Explanation

Each interior angle in a regular nonagon measures 135 degrees.

#4

If the exterior angle of a regular polygon is 30 degrees, how many sides does the polygon have?

12
Explanation

A regular polygon with an exterior angle of 30 degrees has 12 sides.

#5

If the measure of an angle in a regular pentagon is 108 degrees, what is the sum of all interior angles in the pentagon?

720 degrees
Explanation

The sum of all interior angles in a regular pentagon with one angle of 108 degrees is 720 degrees.

#6

In a regular pentagon, what is the measure of each interior angle?

108 degrees
Explanation

In a regular pentagon, each interior angle measures 108 degrees.

#7

What is the exterior angle of a hexagon?

60 degrees
Explanation

The exterior angle of a regular hexagon measures 60 degrees.

#8

What is the measure of each exterior angle in a regular heptagon?

60 degrees
Explanation

Each exterior angle in a regular heptagon measures 60 degrees.

#9

If one angle in a rhombus is 120 degrees, what is the measure of each interior angle?

60 degrees
Explanation

In a rhombus, each interior angle measures 60 degrees.

#10

If the interior angle of a polygon is 150 degrees, how many sides does the polygon have?

10
Explanation

A polygon with an interior angle of 150 degrees has 10 sides.

#11

What is the sum of exterior angles in any polygon?

360 degrees
Explanation

The sum of exterior angles in any polygon is always 360 degrees.

#12

If the sum of interior angles in a polygon is 900 degrees, how many sides does the polygon have?

6
Explanation

A polygon with a sum of interior angles of 900 degrees has 6 sides.

#13

What is the measure of each interior angle in a regular decagon?

144 degrees
Explanation

Each interior angle in a regular decagon measures 144 degrees.

#14

In a regular octagon, what is the measure of each exterior angle?

60 degrees
Explanation

Each exterior angle in a regular octagon measures 60 degrees.

#15

If the sum of interior angles in a polygon is 1620 degrees, how many sides does the polygon have?

12
Explanation

A polygon with a sum of interior angles of 1620 degrees has 12 sides.

#16

If the measure of an exterior angle of a regular polygon is 45 degrees, how many sides does the polygon have?

8
Explanation

A regular polygon with an exterior angle of 45 degrees has 8 sides.

#17

In a trapezoid, what is the sum of interior angles?

180 degrees
Explanation

The sum of interior angles in a trapezoid is always 180 degrees.

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