Question

please help me!!!!!!!!!!​

Answer 1

Answer:

140°

Step-by-step explanation:

Draw diagram first and join all the corners with center

You will found that measure of each angle is 360/9 = 40

Now each triangle formed is isosceles because it is a regular polygon so angle other than at center are equal

Let them be X than

x + x + 40 = 180

2x = 140

x = 70

since each angle = 2x = 140

Please draw the diagram first to understand easily

Answer 2

Step-by-step explanation:

Given :-

Sides in a regular polygon is 9

To find :-

Find the each interior angle of the given regular polygon?

Solution:-

Given that

Number of sides in a regular polygon = 9

Let n = 9

We know that

Each interior angle of a regular polygon of n sides is [(n-2)/n]×180°

On Substituting the value of n in the above formula then

=> [(9-2)/9]×180°

=> (7/9)×180°

=> (7×180°)/9

=> 7×20°

=> 140°

Therefore, the interior angle = 140°

Answer:-

Each interior angle of the given regular polygon of 9 sides ( Nonagon ) is 140°

Used formulae:-

Each interior angle of a regular polygon of n sides is [(n-2)/n]×180°