Question

I need to solve any of those questions, i don't know how to setup the equation, and i also don't know how to solve and get answers, i would appreciate your help! ​

Answer 1

`(a)\ Sum = 5760`

`(b)\ \theta = 72`

`(c)\ Sum = 360`

Explanation:

The formulas to each question are given

We have:

(a) Regular 34-gon

Required: The sum of the interior angle

This is calculated as:

`Sum = (n - 2) * 180`

In this case:

`n = 34`

So, we have:

`Sum = (34 - 2) * 180`

`Sum = 32 * 180`

`Sum = 5760`

(b) Regular pentagon

Required: Each exterior angle

This is calculated as:

`\theta = (360)/(n)`

In this case:

`n = 5` --- sides of a pentagon

So, we have:

`\theta = (360)/(5)`

`\theta = 72`

Solving (c): 72-gon

Required: Sum of exterior angles

This is calculated as:

`Sum = 360`