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Mathematics 15 Online
OpenStudy (anonymous):

Please help!!!!! MEDAL AND FAN!!!!!

OpenStudy (anonymous):

This is the first picture

OpenStudy (anonymous):

This is the second one.

OpenStudy (anonymous):

sum of exterior angles of a polygon=360

OpenStudy (welshfella):

this is a heptagon - with 7 sides formula for number of measure of angles in an n sided polygon = 180(n -2) So plug on n = 7 and you can calculate the total measure of degrees then you can find value of x

OpenStudy (anonymous):

So 7-2=5*180=900

OpenStudy (anonymous):

Is the right?

OpenStudy (welshfella):

right

OpenStudy (welshfella):

so add up the measures of the 6 angles given and subtract form 900

OpenStudy (anonymous):

900-789=111

OpenStudy (welshfella):

yes

OpenStudy (anonymous):

So number one is 111degrees

OpenStudy (anonymous):

How do I the rest

OpenStudy (anonymous):

@Vocaloid

OpenStudy (anonymous):

@freckles please help

OpenStudy (michele_laino):

other questions are similar, you have to use this formula: \[\Large s = \left( {n - 2} \right) \times 180\] in order to compute the sum of the interior angles of a polygon

OpenStudy (michele_laino):

where n is the number of sides of your polygon, as @welshfella has written before

OpenStudy (anonymous):

So I type in the number of sides that the question says?

OpenStudy (michele_laino):

yes! for example, let's study exercise #5 the sum of interior angles is: \[\Large s = \left( {8 - 2} \right) \times 180 = 1080\] then each interior angle measures this: \[\Large \frac{{1080}}{8} = 135\]

OpenStudy (anonymous):

but how would I find the exterior

OpenStudy (michele_laino):

the exterior angle is the supplementary angle of the corresponding interior angle: |dw:1440016538135:dw|

OpenStudy (anonymous):

Ok..... but how do I know how many degrees the angle is

OpenStudy (michele_laino):

for example, let's study exercise #6 since from exercise #5 we know that the measure of each interior angle is 135 degrees, then the measure of the corresponding exterior angle is: 180-135= 45 degrees

OpenStudy (michele_laino):

|dw:1440016841979:dw|

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