## Selina Concise Mathematics Class 6 ICSE Solutions Chapter 28 Polygons

**Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 28 Polygons**

### Polygons Exercise 28A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.

State, which of the following are polygons :

Solution:

Question 2.

Find the sum of interior angles of a polygon with :

(i) 9 sides

(ii) 13 sides

(iii) 16 sides

Solution:

Question 3.

Find the number of sides of a polygon, if the sum of its interior angles is :

(i) 1440°

(ii) 1620°

Solution:

Question 4.

Is it possible to have a polygon, whose sum of interior angles is 1030°.

Solution:

Question 5.

(i) If all the angles of a hexagon arc equal, find the measure of each angle.

(ii) If all the angles of an octagon are equal, find the measure of each angle,

Solution:

Question 6.

One angle of a quadrilateral is 90° and all other angles are equal ; find each equal angle.

Solution:

Question 7.

If angles of quadrilateral are in the ratio 4 : 5 : 3 : 6 ; find each angle of the quadrilateral.

Solution:

Question 8.

If one angle of a pentagon is 120° and each of the remaining four angles is x°, find the magnitude of x.

Solution:

Question 9.

The angles of a pentagon are in the ratio 5 : 4 : 5 : 7 : 6 ; find each angle of the pentagon.

Solution:

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Question 10.

Two angles of a hexagon are 90° and 110°. If the remaining four angles arc equal, find each equal angle.

Solution:

### Polygons Exercise 28B – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.

Fill in the blanks :

In case of regular polygon, with

Solution:

Question 2.

Find the number of sides in a regular polygon, if its each interior angle is :

(i) 160°

(ii) 150°

Solution:

Question 3.

Find number of sides in a regular polygon, if its each exterior angle is :

(i) 30°

(ii) 36°

Solution:

Question 4.

Is it possible to have a regular polygon whose each interior angle is :

(i) 135°

(ii) 155°

Solution:

Question 5.

Is it possible to have a regular polygon whose each exterior angle is :

(i) 100°

(ii) 36°

Solution:

Question 6.

The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find :

(i) each exterior angle of this polygon.

(ii) number of sides in the polygon.

Solution: