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Lala1345
 2 years 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! =)
Lala1345
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the sum of angles in ANY \(n\)sided polygon?

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

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

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

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

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

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

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

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

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

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

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

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

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