Question

calculate the measure of sum of interior angle of a regular polygon of:

(a) 5 sides
(b) 6 sides
(c) 9 sides​

Answer 1

5 sides or a Pentagon - sum of interior angles is 540°

6 sides or a hexagon - sum of interior angles is 720°

9 sides or a nonagon - sum of interior angles is 1260°

Step-by-step explanation:

Use this formula to find The sum of interior angles of a polygon -

180× (n-2) where n is the number of sides. Like for Nonagon it was

180×(9-2) or 180×7 or 1260°

Thanks

Answer 2

Answer:

hi

Step-by-step explanation:

here I will explain you how to solve those problems

Sum of Interior Angles in a Polygon

Sum of Interior Angles in a PolygonThe interior angles in a regular polygon are always equal to each other. Therefore, to find the sum of the interior angles of a polygon, we use the formula: Sum of interior angles = (n − 2) × 180° where 'n' = the number of sides of a polygon.

a) 5 sides

(n-2)180

= (5-2)180

= (3)180

= 540

b) 6 sides

= (6-2)180

= (4)180

= 720

c) 9 sides

= (9-2)180

= (7)180

= 1260

therefore, a)540 b)720 c)1,260

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