Q6 of 59 Page 195

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

Decagon


Now for a decagon, we know it has ten sides. So let us substitute n = 10 in the formula.

Sum of interior angles is given as = (2 × 10 – 4) × 90


= (20 – 4) × 90


= 16 × 90


= 1440°


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


= 1440 / 10


= 144°


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


Measure of each exterior angles for decagon = 360 / 10
= 36°


More from this chapter

All 59 →
6 C

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

octagon


 6 D

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

Nonagon


 6 F

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

Polygon with 18 sides.


 7

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):

6°