Math, asked by KRelidprjavany, 1 year ago

How to find the measure of an interior angle and exterior angle seperately(when the side is given)?

Answers

Answered by Divyankasc
2
If number of sides of a polygon is given, you can find the exterior angle and then interior angle quite easily.

Here's what you will do :
Now, suppose I have got a polygon with ten sides.

Step 1 :
Divide the number of sides by the number of 360°.
We have ten sides here. So, divide 360 by 10
= 36°
This is the measure of the exterior angle of that polygon.

Step 2 :
For finding the interior angle, subtract the exterior angle from 180°
180° - 36 ° = 144°

That's the interior angle.

Pretty simple! isn't it ? :D

Have any doubts ? Ask in the comments below ↓ :)

kvnmurty: good
Answered by Dwellon
47

\huge\tt{\bold{\underline{\underline{Question᎓}}}}

How to find the measure of an interior angle and exterior angle seperately(when the side is given)?

\huge\tt{\bold{\underline{\underline{Answer᎓}}}}

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_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

If number of sides of a polygon is given,

you can find the exterior angle and then

interior angle quite easily.

Here's what you will do

Now, suppose I have got a polygon with

ten sides.

\mathcal{Step \:1}

Divide the number of sides by the

number of 360°.

We have ten sides here. So, divide 360

by 10

= 36

This is the measure of the exterior angle

of that polygon.

\mathcal{Step \:2}

For finding the interior angle, subtract the

exterior angle from 180°

180-36 °= 144

That's the interior angle.

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