the angles of a quadrilateral are in the following ratio find the measurment of the ratio 2:3:4:6
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Now, we have the ratio of angles as 2 : 3 : 4 : 6. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,4x,6x. Hence, x=24∘. So, the angles will be 48∘,72∘,96∘,144∘.
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Step-by-step explanation:
Let the angles be 2x 3x 4x and 6x
:. 2x + 3x + 4x + 6x = 360 degree [sum of all angles in a quad. is 360]
=> 15x = 360 degree
=> x = 360 / 15 = 24 degree
:. The angles are,
2x = 2 x 24 = 48 degree
3x = 3 x 24 = 72 degree
4x = 4 x 24 = 96 degree
6x = 6 x 24 = 144 degree
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