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The four angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of eaches
of the quadrilateral
the nature of AASD. Give reasons .
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Sum of all angles of a quadrilateral= 360 degree
Ratio= 1:2:3:4
So let the measures of angles be x, 2x, 3x and 4x
Now by the problem, x+2x+3x+4x = 360
10 x = 360
x = 360/10
x = 36
2x = 72. 3x= 108. 4x= 144
So the angles are 36, 72, 108 and 144 degree respectively.
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Step-by-step explanation:
let the angle be =×
=×+2×+3×+4×=360
10×=360
×=36
therefore ..
answer is =2*36=72
3*36=108
4*36=144
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