Math, asked by hetviviradiya9513, 8 months ago

The angle of a quadrilateral are in the ratio 2 : 4:5: 7

Answers

Answered by ranjabotichatterjee
8

Answer:

The sides are: 20,40,50 and 70

I'm not sure. Still u can get the answer by using X method.

Answered by InfiniteSoul
5

Correct Question:-

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  • The angle of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find the angles

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\sf{\bold{\green{\underline{\underline{Given}}}}}

  • Ratio of angles = 2 : 4 : 5 : 7

______________________

\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

  • Angles = ??

______________________

\sf{\bold{\green{\underline{\underline{Solution}}}}}

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  • We know that the sum of all angles of an quadrilateral is 360

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  • let the angles be 2x , 4x , 5x and 7x

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2x + 4x + 5x + 7x = 360

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6x + 5x + 7x = 360

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11x + 7x = 360

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18x = 360

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x = 360 / 18

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x = 20

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  • putting value of x in the angles

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2x = 2 × 20 = 40

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4x = 4 × 20 = 80

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5x = 5 × 20 = 100

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7x = 7 × 20 = 140

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

  • Angles of the Quadrilateral = 40 , 80 , 100 , 140

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Verification :-

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Ratio of 1st and 2nd angle = \sf:{\bold{ \dfrac{40}{80} = \dfrac{4}{8} = \dfrac{2}{4}}}

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Ratio of 2nd and 3rd angle = \sf:{\bold{ \dfrac{80}{100} = \dfrac{8}{10} = \dfrac{4}{5}}}

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Ratio of 3rd and 4th angle = \sf:{\bold{ \dfrac{100}{140} = \dfrac{10}{14} = \dfrac{5}{7}}}

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Ratio of 1st angle : 2nd angle : 3rd angle : 4th angle = 2 : 4 : 5 : 7

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⠀⠀⠀⠀⠀⠀.......Hence verified

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