Math Is Fun Forum

Dharshi

Member

Registered: 2006-10-31

Posts: 56

I need help in finding the angle of a pentagon

Hi,

  I need help in finding the angle of a pentagon without using the interior sum of the angle formula.

Plz help me
All the best!!

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: I need help in finding the angle of a pentagon

well with a regular pentagon, if you look at the centre of the pentagon and draw a point, if you then draw lines to each vertex of the pentagon, each of these lines will create an angle of 360/5 -> 72 degrees at the centre, any one of the triangles formed from the centre to one edge, will then be isoceles, and the other two angle's sum will equal 180-72 -> 108 degrees, such that one of them will be 54 degrees, but then the interior angle of the pentago will be two of these put together, so it will be back to 108 degrees again.

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Dharshi

Member

Registered: 2006-10-31

Posts: 56

Re: I need help in finding the angle of a pentagon

Thanks.I got the point :)