Question

The angle of a Pentagon are in the ratio of 1:3:5:4:5.Find the angle of pentagon.​

Answer 1

Step-by-step explanation:

From the question it is given that, the exterior angles of a pentagon are in ratio 1: 2: 3:4: 5

We know that, sum of exterior angles of pentagon is equal to 360

∘

.

So, let us assume the angles of the pentagon be 1a,2a,3a,4a and 5a.

1a+2a+3a+4a+5a=360

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15a=360

∘

a=360

∘

/15

a=24

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Therefore, the angles of pentagon are, 1a=1×24=24

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2a=2×24=48

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3a=3×24=72

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4a=4×24=96

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5a=5×24=120

∘

Then, interior angles of the pentagon are, 180

∘

−24

∘

=156

∘

180

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−48

∘

=132

∘

180

∘

−72

∘

=108

∘

180

∘

−96

∘

=84

∘

180

∘

−120

∘

=60

∘

Answer 2

Answer:

30,90,150,120,150

Step-by-step explanation:

1+3+5+4+5=18

18=540=30

30*3

30*5

30*4

30*5