Question

the interior angle of a pentagon are in the ratio 4: 5 :6:7 :5 .find each angle of the Pentagon

Answer 1

let it be x
so it become
4x+5x+6x+7x+5x=

Answer 2

Step-by-step explanation:

sum of interior angles of pentagon= 540

let the interior angles of the given pentagon be= 4x, 5x, 6x, 7x, 5x.

hence, 4x+5x+6x+7x+5x=540

27x=540

x=20.

now substituting value of x in the angles=

4x= 4*20= 80 degree

5x= 5*20= 100 degree

6x= 6*20= 120 degree

7x= 7*20= 140 degree

5x= 5*20= 100 degree

therefore, angles of the pentagon are 80, 100, 120, 140, 100.

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