the measure of each exterior angles of a regular polygon of 15 sides is
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The measure of each exterior angle of a regular polygon of 15 sides is:
The measure of each exterior angle of a regular polygon of 15 sides is:
Byju's Answer Standard VIII Mathematics
Sum of all Exterior Angles of a Polygon
The measure o... Question
The measure of each exterior angle of a regular polygon of 15 sides is:
Open in App Solution We know that,
Sum of exterior angles of any polygon = 360°
Each exterior angle of a regular polygon of n sides =
360 ° n
So, measure of each exterior angle of a regular polygon of 15 sides =
360 ° 15 = 24 ° Suggest Corrections 15
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Q2Find the measure of each exterior angle of a regular polygon of i 9 sides ii 15 sides...
Free solutions for NCERT Solutions - Mathematics , Class 8 Chapter 4 - Understanding Quadrilaterals Exercise 3.2 question 3. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts
NCERT Solutions Class 8 Mathematics Solutions for Exercise 3.2 in Chapter 3 - Understanding Quadrilaterals
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Q2)Find the measure of each exterior angle of a regular polygon of
(i) 9 sides (ii) 15 sides
Answer: Solution 7: (i): 9 sides
Sum of all exterior angles=360 degrees
Exterior angle of regular polygon is same
Since, \frac{360}{9}=40 9 360 =40
Exterior angle=40 degrees for polygon of 9 sides
(ii): 15 sides
Sum of all exterior angles=360
Exterior angle of regular polygon is same,
Since, \frac{360}{15}=24 15 360 =24
Exterior angle=24 for polygon of 15 sides.
Related Questions
Q1) Find x in the following figures.(i)(ii)
Q4) How many sides does a regular polygon have if each of its interior anglesis 165°?
Q6) (a) What is the minimum interior angle possible for a regular polygon? Why?(b) What is the maxim...
Q3) How many sides does a regular polygon have if the measure of an exterior angle is 24°?
Q5)(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?(b) Can i...
**Find the measure of each exterior angle of a regular polygon of 15 sides.**
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Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides
Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides. The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.
(i) 9 sides (ii) 15 sides
Solution:Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.
(i) 9 sides
The total sum of all exterior angles = 360°
Each exterior angle = Sum of exterior angles / Number of sides
= 360°/9 = 40°
Each exterior angle = 40°
(ii) 15 sides
The total sum of all exterior angles = 360°
Each exterior angle = Sum of exterior angles / Number of sides
= 360°/15 = 24°
Each exterior angle = 24°
☛ Check: Class 8 Maths NCERT Solutions Chapter 3Video Solution:Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides
NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 2
Summary:The measure of each exterior angle of a regular polygon of 9 sides and 15 sides are 40° and 24° respectively.
☛ Related Questions:How many sides does a regular polygon have if the measure of an exterior angle is 24°?
How many sides does a regular polygon have if each of its interior angles is 165°?
(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?
(a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?
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