in a quadrilateral abcd if angle a:angle b:angle c:angle d=1:2:3:4,then find the measure of each angle of the quadrilateral
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Answer:
Let us take the given ratio be x:2x:3x:4x
Then, ATQ, x+2x+3x+4x = 360°
or 10x =360°
Therefore x = 36°
So, first angle =x =36°
second angle =2x=72°
third angle=3x=108°
fourth angle=4x= 144°
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Step-by-step explanation:
let 1 X ,2x,3X and 4x
1x+2x+3x+4x=360
10x=360
x=360÷10
x=36
1x=1×36=36
2x=2×36=72
3x=3×36=108
4x=4×36=144
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