If the angle of a quadrilateral are in the ratio2:3:5:8 , the smallest angle is
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13
SOLUTION :
Let the angles of the quadrilateral be 2x,3x,5x and 8x.
We know, sum of the angles of a quadrilateral is 360°.
Therefore, according to the question
2x + 3x + 5x + 8x = 360°
18x = 360°
x = 360/18 = 20°
Now, on substituting the value of x then the required angles are as follows :-
2x = 2×20 = 40°
3x = 3×20 = 60°
5x = 5×20 = 100°
8x = 8×20 = 160°
Hence, the smallest angle is 40°.
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Let us assume that , the angles of quadrilateral are 2x , 3x , 5x and 8x
We know that ,
The sum of all angles of quadrilateral is 360
Thus ,
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