Properties of Regular Polygons

Q.

How many sides does a regular polygon have if each of its interior angles is $165°$?

Q.

Find the measure of interior angle of a regular octagon.

1. ${135}^{\circ }$

2. ${105}^{\circ }$

3. ${145}^{\circ }$

4. ${120}^{\circ }$

Q.

How many sides does a regular polygon have if the measure of an exterior angle is $24°$?

Q.

The measure of each interior angle of a regular nonagon is

1. 180^o

2. 40^o

3. 90^o

4. 140^o

Q.

Circle is a not a polygon.State whether True or False.

1. True

2. False

Q.

Which of the following are concave polygons?

1. 
2. 
3. 
4. 

Q.

A polygon is made up of line segments and circles.

1. False

2. True

Q.

A polygon having eight sides is called:

1. Pentagon

2. Hexagon

3. Heptagon

4. Octagon

Q.

The triangle is a polygon with 3 sides.

1. True

2. False

Q.

A polygon is not a simple closed curve.

1. False

2. True

Q.

If each interior angle of a regular polygon is 120°, then it has ___ sides.

1. 12

2. 11

3. 6

4. 9

Q.

Sum of all interior angles of a convex polygon with five sides is _______ .

1. 360^o

2. 180^o

3. 540^o

4. 720^o

Q.

A ____ is a two dimensional closed figure formed by straight lines.

1. polygon

2. line

3. point
4. cuboid

Q. Tick (✓) the correct answer:
Each interior angle of a polygon is 135°. How many sides does it have?
(a) 8
(b) 7
(c) 6
(d) 10

Q. Infinite quadrilaterals can be drawn with any given lengths of the 4 sides. State true or false.

1. ABC

2. ADC

Q. How may sides are there in a octagon and decagon

Q.

If the perimeter of a regular pentagon is $40$ cm, then length of its side is _ cm.

Q. A polygon whose all sides and all angles are equal is known as .

1. irregular polygon
2. regular polygon
3. simple polygon
4. convex polygon

Q.

State which of the following statements are true and which are false :

A triangle has four sides.

1. True
2. False

Q. Tick (✓) the correct answer:
Each interior angle of a polygon is 108°. How many sides does it have?
(a) 8
(b) 6
(c) 5
(d) 7

Q.

A regular pentagon will have-

1. 4 sides of equal length

2. Each angle of 108^o

3. Each angle of 106^o

4. 6 sides

Q.

Sum of all interior angles of a convex polygon with five sides is _______ .

1. 720^o

2. 360^o

3. 180^o

4. 540^o

Q.

Every regular polygon has sides and angles of ___measure.

Q.

What is the name of the closed figure, which can be formed with the least number of vertices?

__

Q. Find the angle measure x in the following figures:
[4 marks]

(a) (b)

Q. A is a regular polygon.

1. trapezium
2. square
3. rhombus

Q. A convex polygon has at least diagonal external to it.

1. 1
2. 2
3. 3
4. 4

Q. A circle is made up of triangles.

1. Infinite
2. 3
3. 4
4. 8

Q. Match the following.

1. Convex polygon
2. Concave polygon
3. Not a polygon

Q.

The number of diagonals in a polygon with 'n' sides is

1. n - 3

2. n - 4

3. (n - 2)

4. n - 5