Question

Find the smallest and the greatest angle of a pentagon whose angles are in the ratio 6 : 3 : 2 : 5 : 4.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

The sum of all angles in a pentagon=540 degree

let the angles be 6x, 3x, 2x, 5x, 4x.

then,

6x+3x+2x+5x+4x= 20x

20x =540 degree

x= 540/20

27 degree

6x= 6×27= 162 degree

3x=3×27= 81 degree

2x=2×27=54 degree

5x=5×27=135 degree

4x=4×27=108 degree

hence the smallest angle is 54 degree I.e 2x

and the greatest angle is 162 degree ie 6x

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