Find the measure of each exterior angle of a regular polygon of: (a) 9 sides (b) 15 sides

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...

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 =...

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...

Solution: 90°, as they add up to 180°

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...

Angle of incidence i = (A + δm)/2 Concept : i + e = A + δ But at minimum angle of deviation, i = e

(3) Area of trapezium = h/2(a + b)  = 10/2 (24 + 15) = 5 × 39 = 195 cm2