76
Question
Two angles of a polygon are right angles and every other angle is 120 degree. Find the number of sides of the polygon.
Two angles of a polygon are right angles and every other angle is 120 degree. Find the number of sides of the polygon.
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Solution
Property of Polygon -
"Sum of all interior angles of n sided polygon is equals to 
"
It is given that two angles are 90 degree and rest are 120 degree
Thus sum of all angles from given data =
From the above property of polygon,
Sum of all interior angles = 180 
(n-2) = 180n -360
By equating both,
120n -60 =180n -360
300 = 60n
n =5
Therefore number of side of polygon is 5
"Sum of all interior angles of n sided polygon is equals to
"It is given that two angles are 90 degree and rest are 120 degree
Thus sum of all angles from given data =
From the above property of polygon,
Sum of all interior angles = 180
(n-2) = 180n -360By equating both,
120n -60 =180n -360
300 = 60n
n =5
Therefore number of side of polygon is 5
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