Question

Q1: Find the number of sides of a polygon if the sum of the interior angles is: a) 10 right angles. b) 1620 degrees Q2 : Find the measure of each exterior angle of a regular polygon having a) 12 sides b) 26 sides Q3: How many sides does a regular polygon have if each interior angle is : a) 144 degrees b) 156 degrees. Q4: Find the sum of the interior angle of a polygon having : a) 7 sides b) 16 sides

Answer 1

Answer: 11 sides... assuming all the angles are equal, number of angles=number of sides,now a triangle has 3 sides with sum of angles 180 degrees, quadrilateral which is made up of 2 triangles=180×2=360 degrees and so on..... so 1620÷180=9 and 9+2=11(since the multiple 1 represent a triangle,2 a quadrilateral and so on....so add 2 to multiple to get sides).... message if need help for understanding.

Answer 3- 15 sides

Answer 4- The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

These are all answer