Q6 C of 59 Page 195

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

octagon


Now for an octagon, we know it has eight sides. So let us substitute n = 8 in the formula.

Sum of interior angles is given as = (2 × 8 – 4) × 90


= (16 – 4) × 90


= 12 × 90


= 1080°


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


= 1080 / 8


= 135°


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


Measure of each exterior angles for octagon = 360 / 8
= 45°


More from this chapter

All 59 →
6 A

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

Pentagon


 6 B

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

hexagon


 6 D

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

Nonagon


 6

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

Decagon