Q99 of 160 Page 144

State whether the statements are true (T) or false (F).

Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.

TRUE

We know that,


Sum of Interior angles of Polygon = 180(n-2)
Sum of Exterior angles of Polygon = 360
Here, for triangle , n=3,ie. triangle


So, Sum of Interior angles of triangle = 180(n-2)° = 180(3-2)° = 180°


And ,Sum of Exterior angles of triangle = 360°


we can say that ,


2 × Sum of Interior angles of triangle = Sum of Interior angles of triangle


2 × 180° = 360°


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