Question

Find the measure of each interior angle of : a) Nonagon b) Decagon c) 24-gon

Answer 1

Step-by-step explanation

Sum of interior angles in a n-sided polygon is 180°(n-2).

So, sum of interior angles in nonagon is 180°(7)

(i.e.)1260°

measure \: of \: each \: angle = \frac{sum \: of \: interior \: angles}{number \: of \: sides}

Measure of Each angle is 1260°/9

(i.e.) 140°

Similarly, sum of interior angles in decagon is 180°(8) (i.e). 1440°.

Measure of Each angle is 144°

Similarly, sum of interior angles in 24 sided polygon is 180°(22) (i.e.) 3960°

Measure of Each angle is 165°