Question

एक सम बहुभुज के आंतरिक और बाह्य कोणों का अनुपात 4:00 अनुपात 1:00 है संभव भुज के भुजाओं की संख्या कितनी है

Answer 1

Answer:

10

Step-by-step explanation:

Assume internal angle is 4p then external will be p.

But sum of a internal and external angles = 180

p + 4p = 180 or p = 36

So one internal angle = y =36 × 4 = 144°

Now Let the number of sides be x .

In a regular polygon ( sambahu bhuj ) sum of all x internal angles = 180(x-2)

So one angle

y = 180(x-2) ÷ x

and

$\: \: \: \: \: \: y = 144 = \frac{180(x - 2)}{x} \\ \implies \: 144x = 180x - 360 \\ \implies36x = 360 \\ \implies \: x = 10$