Solution:We know that number of angles of a polygon = number of sides
And we know that sum of exterior angles of a polygon = 360⁰
So, measure of each angle = 24°
Or, number of exterior angles = 360°/24° = 15
Hence, number of sides = 15
A regular polygon: A polygon having all sides of equal length and the interior angles of equal size is known as regular polygon.
(i) 3 sides
Polygon having three sides is called...
(i) 9 sides
Solution: Since, 9 sides of a polygon has nine angles
And we know that sum of exterior angles of a polygon = 360⁰
So, 9 exterior angles = 360°
Or, 1 exterior...
Solution: Here, each interior angle = 165°
Hence, each exterior angle = 180° - 165° = 15°
As, measure of each exterior angle = 15°
So, number of sides = 360°/15° = 24
Hence, number...
Solution:
Since, number of sides of a polygon = 360°/each exterior angle
Hence, number of sides of given polygon = 360°/22° = 16.36
Since, answer is not a whole number, thus, a regular...
Solution: Here, each interior angle = 22°
Hence, each exterior angle = 180° - 22° = 158°
Hence, number of sides = 360°/158° = 2.27
Since, answer is not a whole number, thus, a...
Solution: (a) Triangle is the polygon with minimum number of sides and an equilateral triangle is a regular polygon because all sides are equal in this. We know that each...
(i) No, a polyhedron cannot have 3 triangles for its faces.
(ii) Yes, a polyhedron can have four triangles which is known as pyramid on triangular base.
(iii) Yes, a polyhedron has...
Salim would get the most accurate length. The reason is that in this case the length of the table can be measured in one go because the measuring tape is...