Q6 D of 59 Page 195

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Nonagon


Now for a nonagon, we know it has nine sides. So let us substitute n = 9 in the formula.

Sum of interior angles is given as = (2 × 9 – 4) × 90


= (18 – 4) × 90


= 14 × 90


= 1260°


Measure of each interior angle in nonagon = Sum of all Interior Angles / n


= 1260 / 9


= 140°


Sum of all exterior angles in a regular of n sides is always 360°.


Measure of each exterior angles for nonagon = 360 / 9
= 40°


More from this chapter

All 59 →
6 B

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

hexagon


 6 C

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

octagon


 6

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Decagon


 6 F

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Polygon with 18 sides.