The angle of a quadrilateral are in the ratio 2 : 4:5: 7
Answers
Answered by
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
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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- Ratio of angles = 2 : 4 : 5 : 7
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- Angles = ??
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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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- Angles of the Quadrilateral = 40 , 80 , 100 , 140
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Verification :-
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Ratio of 1st and 2nd angle =
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Ratio of 2nd and 3rd angle =
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Ratio of 3rd and 4th angle =
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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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