Question

Find the measure of angle E.

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Answer 1

i think it might equal 1260, 140, 180, or 360. Are any of those right to set my equation equal to

Answer 2

The sum of the angles of any n-gon is

S = 180(n-2)

In your case, a nonagon has 9 sides. So n = 9


Therefore, the angles sum to


S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

Answer 3

so make it equal to 1260

Answer 4

yes, add up all the angles and set the result equal to 1260

Answer 5

and would i use that equation to solve for the interior angles of a dodecgon

Answer 6

yes, but this time let n = 12 (since a dodecagon has 12 sides)

Answer 7

okay thank you

Answer 8

sure thing

Answer 9

after i have the total angles of all the interior angles do i divide by tweleve?

Answer 10

if it's a regular dodecagon, then yes

Answer 11

yeah its regualr

Answer 12

then yes, you divide by 12 to get the measure of a single interior angle