The angles of a quadrilateral cannot be in the ratio 1 : 2 : 3 : 6 why? Give reasons.(Hint : Try to draw rough diagram of this quadrilateral)
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Answered by
146
1x+2x+3x+6x=360
12x=360
x=30
one angle will be 6x = 180°
which is not possible therefore quadrilateral will not form..
12x=360
x=30
one angle will be 6x = 180°
which is not possible therefore quadrilateral will not form..
Answered by
144
Let the angles of the quadrilateral be x,2x,3x,6x.
If these are the angles of a quadrilateral, then
x+2x+3x+6x=360°
12x=360
x=30
Therefore, the angles are 30°,60°,90° &180°.
But , 180 ° cannot be an angle of a quadrilateral .
Hence, the angles of a quadrilateral cannot be in the ratio 1:2:3:6.
If these are the angles of a quadrilateral, then
x+2x+3x+6x=360°
12x=360
x=30
Therefore, the angles are 30°,60°,90° &180°.
But , 180 ° cannot be an angle of a quadrilateral .
Hence, the angles of a quadrilateral cannot be in the ratio 1:2:3:6.
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