SOLUTION: a polygon has n sides.given one of its interior angleof the polygons is 126 degree while the other interior angles are each equal to 162 degree.calculate the number of sides

Algebra ->  Polygons -> SOLUTION: a polygon has n sides.given one of its interior angleof the polygons is 126 degree while the other interior angles are each equal to 162 degree.calculate the number of sides       Log On


   

Question 945109: a polygon has n sides.given one of its interior angleof the polygons is 126 degree while the other interior angles are each equal to 162 degree.calculate the number of sides
Answer by dileepkumarabhijith(12) About Me  (Show Source):
You can put this solution on YOUR website!
LET THE NUMBER OF SIDES BE N.
THE SUM OF INTERIOR ANGLES OF A N SIDED POLYGON =%28N-2%29%2A180

GIVEN ONE ANGLE IS 126 DEGREE
REMAINING NO OF ANGLES =N-1,AND THEY'RE EACH 162 DEGREE

THAT IS,%28N-2%29%2A180=126%2B162%28N-1%29

ON SOLVING,N=18...
HOPE THIS HELPS!!!!!!