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Mathematics 32 Online
Pixel:

Exterior angle

Pixel:

1 attachment
Pixel:

Exterior angles = 360 360/7~51.42 =51.4

jhonyy9:

this|dw:1537391130728:dw| suppose this is a regular 7 sides polygon

jhonyy9:

how you get the measure of an exterior engle ?

Pixel:

all exterior angles = 360*?

jhonyy9:

moment one interior angle how many degree will have ?

Pixel:

900/7 ~129

jhonyy9:

and so you know that one interior angle toghether with exterior angle need making 360 degrees yes ?

Pixel:

yes

Pixel:

So Interior + exterior = 360 Degrees

Pixel:

just one

jhonyy9:

exactly

jhonyy9:

yes than you know the measure of one interior angle you can calcule easy the measure of one exterior angle

jhonyy9:

ok. ?

Pixel:

i think so

jhonyy9:

this is the best easy way

Pixel:

so 129 + x = 360 360 - 129 = x x = 231?

jhonyy9:

yes right

jhonyy9:

than this 129 is the measure of one interior angle

Pixel:

Okay, i need one measure of an exterior angle, and all exterior angles = 360

Pixel:

51.4 x 7 = 359.8

jhonyy9:

this 51,4 degrees is the central angle of a regular 7 sides polygon yes ?

Pixel:

No, Im saying one exterior angle of a 7 side Polygon equals 51,4

Pixel:

Also, What language do you speak if it makes it easier i can use a translator

jhonyy9:

this is impossibile bc. than you see my posted drawn there tan exterior angle is greater than 100 degrees - no ? pardon for my english but this not is my mather language - sorry

Pixel:

I know it's fine i can understand you. And yes if you add a line to the outside it makes it obtuse

jhonyy9:

ok. so than you see this my drawn how you think that you can calcule the measure of an exterior angle ? using these traingles

jhonyy9:

these triangles

jhonyy9:

use what you know that one triangle has total angle measure of 180 degrees and you know that the central angle maesure is 51,4 degrees and again you know that the second and 3rd angles are congruent

Pixel:

|dw:1537392297014:dw|

Pixel:

its terrible but just go with it

Pixel:

Pot să folosesc un traducător pentru a vorbi în limba dvs., dacă doriți să faceți acest lucru mai ușor

jhonyy9:

180-51,4 = x so x/2 is the measure of second and 3rd angle and you know that ohhh mamá hai sá vorbim románeste atunci

Pixel:

180 - 51,4 = 128,6/2 = 64,3

jhonyy9:

yes but now you need using what you know that the measure of an exterior angle together with this 128,6 make 360 degrees yes ?

Pixel:

128,6 + 129 = 257,6

jhonyy9:

check please my posted drawn above

Pixel:

Okay hold on let me start over, the sum of all exterior angles is 360

Pixel:

there are 7 exterior angles

Pixel:

360 / 7 = 54.1

jhonyy9:

no this is the measure of an interior angle

Pixel:

Oh

Pixel:

Okay

Pixel:

So central angle = 54.1

jhonyy9:

@ThisGirlPretty please do you can help me making more understandably

Pixel:

interior = 129

jhonyy9:

128,6

Pixel:

128.6 + x = exterior angle?

jhonyy9:

|dw:1537392880359:dw|

jhonyy9:

360 - 128,6 = exterior angle measure

jhonyy9:

ok. ?

Pixel:

okay

jhonyy9:

precis ?

Pixel:

231.4

Pixel:

231,4

jhonyy9:

yes so thia is the exterior angle maesure of a 7 side regular polygon

jhonyy9:

pixel do you understand it now sure ?

Pixel:

so 231,4 is the final answer

jhonyy9:

yes bc. than you assume this 231,4 with this 128,6 you get 360 degrees

Pixel:

Yes Thank

jhonyy9:

try see it in this way - this point A let being the central point of a circle you know that this drawn part has 128,6 degrees so what reamained till 360 degrees bc. you know that a circle has 360 degrees so in this way will get easy the measure of an extreior angle with 360-128,46 yes ?

jhonyy9:

@ThisGirlPretty please do you understand this way ?

jhonyy9:

pixel questions ?

Pixel:

one more sorry i had to do something

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