Question

find the measures of each exterior angle of a regular polygon of:-
a) 10sides
b) 15sides​

Answer 1

Answer:

i) We all know that sum of all the angles of 10sided polygon is 360° if you don't so it is a rule

now in the question it is given that the polygon is 10 sided so all the side would be equal as

it is a regular polygon

now let us give it a name as "x"

So,

10x=360

x=360÷10

x=36

so each angle measure is 36°

ii) 15 sides

For a n-sided regular polygon, sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angle are always supplementary. So sum of the internal and external angle is 180°.

So external angle = 180° - 156° = 24°.

Measure of each external angle is 24°.

HOPE IT HELPS YOU MATE

Step-by-step explanation:

Answer 2

Answer:

here it is...

Step-by-step explanation:

i) We all know that sum of all the angles of 10sided polygon is 360° if you don't so it is a rule

now in the question it is given that the polygon is 10 sided so all the side would be equal as

it is a regular polygon

now let us give it a name as "x"

So,

10x=360

x=360÷10

x=36

so each angle measure is 36°

ii) 15 sides

For a n-sided regular polygon, sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angle are always supplementary. So sum of the internal and external angle is 180°.

So external angle = 180° - 156° = 24°.

Measure of each external angle is 24°.

HOPE IT HELPS YOU MATE