Question

For a regular n-gon:
a. What is the sum of the measures of its angles?
b. What is the measure of each angle?
c. What is the sum of the measures of its exterior angles, one at each vertex?
d. What is the measure of each exterior angle?
e. Find the sum of your answers to parts b and d. Explain why this sum makes sense.

can you Please explain

Answer 1

Are you talking the sum of the interior or exterior angles of the regular n-gon?

Answer 2

yep

Answer 3

not for this: a. What is the sum of the measures of its angles?

Answer 4

(n-2)*180/n

Answer 5

i gave this as an answer

Answer 6

N-gon

Ext angle = 360/ N-gon

Int angle = 180 - 360/N-gon

Ratio is 360/N-gon : 180 - 360/N-gon

Ratio is 360/N-gon : (180*N-gon - 360)/N-Gon

Ratio is 360 : 180*N-gon - 360

Ratio = 360 : 180(N-gon - 2)

Ration = 2 : 1*(N-gon - 2)

Ratio = 2: (N-gon - 2)

Answer 7

measure of an angle

Answer 8

That is the sum of the interior angles of any convex polygon, regular or not.

Answer 9

i just dont know how to give the answer as for each itemized : a, b, c, d, e

Answer 10

to find sum it is just (n-2)*180

Answer 11

b. What is the measure of each angle?

[180*(n-2) ]/n for one interior angle of a regular polygon

Answer 12

@LilySwan c. What is the sum of the measures of its exterior angles, one at each vertex? You should know this from your theorems. What is it.

Answer 13

ok for a the answer will be

Answer 14

C, the answer for c

Answer 15

iam confused

Answer 16

can you please start explaining from the option A

Answer 17

The answer to part A is a theorem.

Answer 18

ok

Answer 19

can you please indicate towards it

Answer 20

i got this wrong to

Answer 21

To find sum it is just (n-2)*180 This is from @SerikMB above in the thread.

Answer 22

That is where n is the number of sides of the polygon.

Answer 23

That, you just learn - memorize.