Question

The exterior angle of Pentagon are in ratio 1:2:3:4:5. Find all the interior angles of Pentagon

Answer 1

Sum of all the exterior angles of regular polygon is 360 degrees

let the angles be 5x, 4x, 3x, 2x and 1x

$5x + 4x + 3x + 2x + x = 360 \\ 15x = 360 \\ x = \frac{360}{15} \\ x = 24$

5x = 120
4x = 96
3x = 72
2x = 48
x = 24
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Answer 2

1x,2x,3x4x,5x


sum of all angles=(n-2)×180
=360

1x+2x+3x+4x+5x=360
15x=360
x=360÷15
x=24

1x= 24 = 24
2x=2×24= 48
3x=3×24= 72
4x=4×24= 96
5x=5×24= 120
ANS...


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