Finding the Sum of Interior Angles in a Regular Polygon

Q. Question 4
Examine the table. ( Each figure is divided into triangles and the sum of the angles deduced from that)

What can you say about angle sum of a convex polygon with number of sides?

(a) 7
(b) 8
(c) 10
(d) n

Q.

Each interior angle of a regular hexagon is ____

1. 2.44 cm

2. 4.44 cm

3. 5.48 cm

4. None of these

Q. Question 15
What is the sum of all angles of a hexagon?
a) ${180}^{\circ }$
b) ${360}^{\circ }$
c) ${540}^{\circ }$
d) ${720}^{\circ }$

Q.

Each interior angle of regular octagon is equal to 135${}^{\circ }$ . State whether the given statement is true or false.

1. True

2. False

Q. Question 14
What is the sum of all the angles of a pentagon?
a) ${180}^{\circ }$
b) ${360}^{\circ }$
c) ${540}^{\circ }$
d) ${720}^{\circ }$

Q.

Each interior angle of a regular decagon is :

1. $124°$

2. $120°$

3. $144°$

4. $140°$

Q. Arrange the polygons in the ascending order of sum of internal angles.

1. Triangle
2. Rectangle
3. Pentagon
4. Hexagon
5. Septagon

Q. Sum of all internal angles of a 7 sided polygon =

1. 900${}^{\circ }$
2. 1260${}^{\circ }$
3. 1080${}^{\circ }$

Q. Question 49
The number of sides of a regular polygon in which each interior angle measures ${135}^{\circ }$ is
a) 6
b) 7
c) 8
d) 9

Q.

The number of sides of a regular polygon whose each interior angle is of $135°$:

1. $6$

2. $7$

3. $8$

4. $9$

Q.

What is the sum of the interior angles of a regular pentagon (regular polygon of 5 sides)?

1. ${640}^{\circ }$

2. ${540}^{\circ }$

3. ${180}^{\circ }$

4. ${360}^{\circ }$

Q.

The interior angle of a regular pentagon is ____

1. 115 degrees

2. 135 degrees

3. 120 degrees

4. 108 degree

Q.

The interior angle of a regular octagon is _____ degrees

1. 120

2. 135

3. 108

4. 75