In a quadrilateral ABCD the angles A,B,C and D are in the ratio 4:8:3:5 find the angles of quadrilateral
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answer will be 32,144,54,90
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Solution -
Let common ratios be 4x,8x,3x and 5x.
As the sum of all the angles of a quadrilateral is 360°.
So,
4x+8x+3x+5x= 360°
20x=360°
x=360°÷20
x=18°
Angles of quadrilateral are as..
4x=4×18=72°
8x=8×18=144°
3x=3×18=54°
5x=5×18=90°
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