RS Aggarwal 2019 2020 Solutions for Class 8 Math Chapter 14 Polygons are provided here with simple step-by-step explanations. These solutions for Polygons are extremely popular among class 8 students for Math Polygons Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggarwal 2019 2020 Book of class 8 Math Chapter 14 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RS Aggarwal 2019 2020 Solutions. All RS Aggarwal 2019 2020 Solutions for class 8 Math are prepared by experts and are 100% accurate.
Page No 182:
Question 1:
Answer:
Exterior angle of an n-sided polygon =
(i) For a pentagon:
(ii) For a hexagon:
(iii) For a heptagon:
(iv) For a decagon:
(v) For a polygon of 15 sides:
Page No 182:
Question 2:
Exterior angle of an n-sided polygon =
(i) For a pentagon:
(ii) For a hexagon:
(iii) For a heptagon:
(iv) For a decagon:
(v) For a polygon of 15 sides:
Answer:
Each exterior angle of an n-sided polygon =
If the exterior angle is 50°, then:
Since n is not an integer, we cannot have a polygon with each exterior angle equal to 50°.
Page No 182:
Question 3:
Each exterior angle of an n-sided polygon =
If the exterior angle is 50°, then:
Since n is not an integer, we cannot have a polygon with each exterior angle equal to 50°.
Answer:
For a regular polygon with n sides:
(i) For a polygon with 10 sides:
(ii) For a polygon with 15 sides:
Page No 182:
Question 4:
For a regular polygon with n sides:
(i) For a polygon with 10 sides:
(ii) For a polygon with 15 sides:
Answer:
Each interior angle of a regular polygon having n sides =
If each interior angle of the polygon is 100°, then:
Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.
Page No 182:
Question 5:
Each interior angle of a regular polygon having n sides =
If each interior angle of the polygon is 100°, then:
Since n is not an integer, it is not possible to have a regular polygon with each interior angle equal to 100°.
Answer:
Sum of the interior angles of an n-sided polygon =
(i) For a pentagon:
(ii) For a hexagon:
(iii) For a nonagon:
(iv) For a polygon of 12 sides:
Page No 182:
Question 6:
Sum of the interior angles of an n-sided polygon =
(i) For a pentagon:
(ii) For a hexagon:
(iii) For a nonagon:
(iv) For a polygon of 12 sides:
Answer:
Number of diagonal in an n-sided polygon =
(i) For a heptagon:
(ii) For an octagon:
(iii) For a 12-sided polygon:
Page No 182:
Question 7:
Number of diagonal in an n-sided polygon =
(i) For a heptagon:
(ii) For an octagon:
(iii) For a 12-sided polygon:
Answer:
Sum of all the exterior angles of a regular polygon is â.
(i)
(ii)
(iii)
(iv)
Page No 182:
Question 8:
Sum of all the exterior angles of a regular polygon is â.
(i)
(ii)
(iii)
(iv)
Answer:
Sum of all the interior angles of an n-sided polygon =
∴ x = 105
Page No 182:
Question 9:
Sum of all the interior angles of an n-sided polygon =
∴ x = 105
Answer:
For a regular n-sided polygon:
Each interior angle =
In the given figure:
∴ x = 108
Page No 182:
Question 1:
For a regular n-sided polygon:
Each interior angle =
In the given figure:
∴ x = 108
Answer:
(a) 5
For a pentagon:
Page No 182:
Question 2:
(a) 5
For a pentagon:
Answer:
(c) 9
Number of diagonals in an n-sided polygon =
For a hexagon:
Page No 182:
Question 3:
(c) 9
Number of diagonals in an n-sided polygon =
For a hexagon:
Answer:
(d) 20
âFor a regular n-sided polygon:
Number of diagonals =:
For an octagon:
Page No 182:
Question 4:
(d) 20
âFor a regular n-sided polygon:
Number of diagonals =:
For an octagon:
Answer:
(d) 54
For an n-sided polygon:
Number of diagonals =
Page No 182:
Question 5:
(d) 54
For an n-sided polygon:
Number of diagonals =
Answer:
(c) 9
Page No 183:
Question 6:
(c) 9
Answer:
(b) 68°
âSum of all the interior angles of a polygon with n sides =
Page No 183:
Question 7:
(b) 68°
âSum of all the interior angles of a polygon with n sides =
Answer:
(b) 9
Page No 183:
Question 8:
(b) 9
Answer:
(c) 5
âEach interior angle for a regular n-sided polygon =
Page No 183:
Question 9:
(c) 5
âEach interior angle for a regular n-sided polygon =
Answer:
(a) 8
â
Page No 183:
Question 10:
(a) 8
â
Answer:
(b) 8
For a regular polygon with n sides:
Each exterior angle =
Each interior angle =
Page No 183:
Question 11:
(b) 8
For a regular polygon with n sides:
Each exterior angle =
Each interior angle =
Answer:
(c) 144°
Each interior angle of a regular decagon =
Page No 183:
Question 12:
(c) 144°
Each interior angle of a regular decagon =
Answer:
(b)
Sum of all the interior angles of a hexagon is right angles.
For a hexagon:
Page No 183:
Question 13:
(b)
Sum of all the interior angles of a hexagon is right angles.
For a hexagon:
Answer:
(a) 135°
Page No 183:
Question 14:
(a) 135°
Answer:
(d) 10
â
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