Question

the angle of a pentagon in the ratio of 1 : 3 : 5 : 4 : 5. find all the angle of the quadrilateral.

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Answer 1

Answer:

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

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.

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

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a=360

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/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

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Then, interior angles of the pentagon are, 180

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−24

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=156

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180

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−48

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=132

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180

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−72

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=108

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180

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−96

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=84

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180

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−120

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=60

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Step-by-step explanation:

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