Question

The angle of pentagon are in the ratio of 1:2:3:5:9 the largest angle is

Answer 1

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Answer 2

Hi Mate !!

• Using angle sum property of a Pentagon in which the sum of all angles of a pentagon are equal to 540.

Let the common factor be x
then , the angles are :-

1st angle :- x
2nd angle :- 2x
3rd angle :- 3x
4th angle :- 5x
5th angle :- 9x


• x + 2x + 3x + 5x + 9x = 540

20x = 540

x = 540/20

x = 27


So, the 1st angle :- ( x ) = 27
2nd angle :- ( 2x ) = 54
3rd angle :- ( 3x ) = 81
4th angle :- ( 5x ) = 135
5th angle :- ( 9x ) = 243

So, the largest angle is measures 243°