RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2

RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2 is part of RBSE Solutions for Class 9 Maths. Here we have given Rajasthan Board RBSE Class 9 Maths Solutions Chapter 6 Rectilinear Figures Ex 6.2.

Board RBSE
Class Class 9
Subject Maths
Chapter Chapter 6
Chapter Name Rectilinear Figures
Exercise Ex 6.2
Number of Questions Solved 4
Category RBSE Solutions

Rajasthan Board RBSE Class 9 Maths Solutions Chapter 6 Rectilinear Figures Ex 6.2

Question 1.
A regular polygon (RBSESolutions.com) has 8 sides, then
(i) Find the sum of the exterior angles.
(ii) Find the measure of each exterior angles.
(iii) Find the sum of all interior angles.
(iv) Find the measure of each interior angle.
Solution.
(i) The sum of all exterior angles having 8 sides = 360°
(ii) Each exterior angles of an octagon
RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2

RBSE Solutions

Question 2.
The sum of the interior angles of (RBSESolutions.com) a polygon is 2160°, find the number of sides in the polygon.
Solution.
The sum of the interior angles of a polygon = (2n – 4) x 90°
⇒ 2160° = 180°n – 360°
⇒ 2160° + 360° = 180°n
RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2
Hence, number of sides of required polygon is 14.

Question 3.
Can there exist a regular (RBSESolutions.com) polygon whose interior angle is 137°?
Solution.
It is given that the measure of each interior angle of a regular polygon = 137° (if possible)
Suppose number of sides of the polygon = n
Sum of all then exterior angles = 360°
⇒ n x 43 = 360°
RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2
Hence, a regular polygon having a measure of each interior angle 137° cannot exist.

Question 4.
In the given figure, find (RBSESolutions.com) the measure of ∠CED.
RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2
Solution.
In ∆ACE
∠A + ∠C + ∠E = 180°
(by angle sum property of a triangle)
⇒ 31° + 75° + ∠E = 180°
⇒ ∠E = 180° – 106°
⇒ ∠E = 74°

RBSE Solutions

We hope the given RBSE Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2 will help you. If you have any query regarding RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 6 Rectilinear Figures Ex 6.2, drop a comment below and we will get back to you at the earliest.