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 one year ago
A polygon has n sides. Two of its angles are right angles. Each of the remaining angles equal to 150 degrees. calculate n. Please help! =)
 one year ago
A polygon has n sides. Two of its angles are right angles. Each of the remaining angles equal to 150 degrees. calculate n. Please help! =)

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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Do you know the sum of angles in ANY \(n\)sided polygon?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0That's right. Two angles make up 180 degrees, and what is the sum of the rest of your angles?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0You are left with this mess:\[180(n 2) = 150(n  2) + 180\]

Lala1345
 one year ago
Best ResponseYou've already chosen the best response.1Im not really understanding :\

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0OK, let's see how I can make you understand.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0The sum of angles in ANY polygon is \(180(n 2)\) right?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Two angles of this particular polygon are right angles. Do you know what a right angle is?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0So what'd be the sum of these two right angles?

Lala1345
 one year ago
Best ResponseYou've already chosen the best response.1A right angle measures 90 degrees

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Nice, now what'd the sum of the rest of the angles be?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0But what'd the \(\textbf{sum}\) of them be?

Lala1345
 one year ago
Best ResponseYou've already chosen the best response.1I dont know :\ the sum is unknown :\

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0In terms of \(n\), what'd it be?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, so the sum of angles is \(150(n  2) + 180\), but it also is \(180(n  2)\). So those two are equal.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Now solve for \(n\)! :)

Lala1345
 one year ago
Best ResponseYou've already chosen the best response.1Im still not getting it :(

Lala1345
 one year ago
Best ResponseYou've already chosen the best response.1Thanks for your help anyways :)
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