When you draw two sides, the interior angle created between them is 135°, illustrated below.
What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed?
1080° 1440° 720° 900°

Question

When you draw two sides, the interior angle created between them is 135°, illustrated below.
What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed? 
   1080°    1440°    720°    900°

anonymous · Answer

attachment

ujjwal · Answer

|dw:1339538447252:dw| exterior angle=45
we have exterior angle=360/n
or, 45=360/n
therefore n=8
so, the polygon is an octagon.
and sum of interior angles=135*8=1080