Question

Regular pentagon has an interior angle measuring 108° true or false?

Answer 1

so penta is 5

Answer 2

find the exterior angle first,

since u already knw that exterior angles sum to 360

Answer 3

so ill use the formula?

Answer 4

penta has 5 vertices,

so,

5x = 360

x = ?

Answer 5

5x=360
5x=360 cancel out then divide?

Answer 6

hmm yes,

5x = 360

x = 360/5
= ?

Answer 7

answer is 72

Answer 8

thats exterior angle

Answer 9

but u also knw that,

exterior + interior = 180

Answer 10

so.. ?

Answer 11

108?

Answer 12

180-72

Answer 13

Excellent !

72 + interior = 180

interior = 180 - 72
= 108

Answer 14

so its true

Answer 15

thank you very much i think im starting to like geom

Answer 16

you would love it and get addicted to it i promise :P

Answer 17

i have another question lol

Answer 18

sure ask

Answer 19

the measure of the interior angle of a convex polygon is always greater than the measure of its adjacent exterior angle true or false?

Answer 20

so is that the one you answered earlier the visualizing ?

Answer 21

no.. this one slightly different

Answer 22

so it says, interior angle is always greater than exterior angle ha ?

Answer 23

yeah

Answer 24

lets try to prove it wrong.

Answer 25

is a triangle called a polygon ?

Answer 26

what do you mean prove it wrong? wait a minute you mean proving, i dont like proving i failed my quiz because of that

Answer 27

yes the triangle is a polygon because its a plane

Answer 28

lol, ok not that kind of proving, we wil just do common-sense level reasoning and try to prove it wrong if we can :)

Answer 29

oh lol ok

Answer 30

wait let me confirm, if triangle and rectangle fall under polygons or not

Answer 31

coz, if they fall under polygons, then, in a triangle, the interior angle is NOT always greater than exterior

Answer 32

thats interior angle

Answer 33

well poly means many triangle has three which is many in my dictionary

Answer 34

thats exterior angle, so clearly interior angle < exterior angle,

so the given statement is FALSE

Answer 35

oh so add the exterior and the interior and youll get the outside line i kinda rememer that

Answer 36

i forgot the formula

Answer 37

let me confirm, il do quick google to see if triangle is called an polygon or not

Answer 38

1 sec

Answer 39

A polygon is a closed figure with three or more sides. The prefix poly- means “many” while -gon means “angle.” So a polygon is a many-angled figure.

Answer 40

thats from FLVS

Answer 41

so, we are correct :)

Answer 42

omg here it comes the postulates and stuff lol

Answer 43

they're more fun than polygons :)

Answer 44

brb

Answer 45

okie