Question

The measure of an exterior angle of a regular polygon is given. Find the measure
of an interior angle. Then find the number of sides.

Answer 1

33. 36 35. 30

Answer 2

interior angle = 180 - exterior angle

Answer 3

so for 33 I just do 180-36?

Answer 4

yes that gives the interior angle, how do u find number of sides ?

Answer 5

im not 100% on that

Answer 6

yea use this :-

exterior angles add up to 360

Answer 7

so if u have 'n' sides in a regular polygon, then

n x exterior angle = 360

Answer 8

n x 36 = 360

n = 360/36
= 10

so its a 10 sided polygon

Answer 9

oh then i do the (n-2)180 to find interiors correct?

Answer 10

does question asks to find "sum of interior angles" also ?

Answer 11

it wants an interior angle

Answer 12

interior angle you have found already.

interior angle = 180 - exterior angle

Answer 13

interior angle = 180 - 36
= 144

Answer 14

so for Q 33), the answer is this :- its a 10 sided polygon with an interior angle of 144

Answer 15

so i do the same thing for 35 too right?

Answer 16

yes

Answer 17

alright i think i can do this now :)

Answer 18

sounds great :)

Answer 19

180-30=150

Answer 20

150 is the interior

Answer 21

n=360/30
n=12

Answer 22

@ganeshie8 is that right?

Answer 23

thats correct ! gw :)