angles of a quadrilateral are in the ratio 3:4:4:7 find all the angels of the quadrilateral
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Answer:
angles are 60,80,80,140
Step-by-step explanation:
3x+4x+4x+7x=360. (sum of all angles of quadrilateral is 360)
==>>>18x=360
==>>>x=20
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Given :-
All angles are given in ratio
3 : 4 : 4 : 7
Solution :-
Let the ratios be 3x , 4x , 4x, 7x
As we know that,
The sum of angles of quadrilateral = 360°
Therefore,
3x + 4x + 4x + 7x = 360°
18x = 360°
x = 360°/18
x = 20°
The value of x = 20°
Therefore,
3x = 3 * 20 = 60°
4x = 4 * 20 = 80°
4x = 4 * 20 = 80°
7x = 7 * 20 = 140°
Hence, The four angles of
quadrilateral are 60° , 80° , 80°
and 140° ..
A quadrilateral is a four sides closed figure.
Examples of quadrilateral are square, Rectangle , parallelograms etc.
Sum of angles of quadrilateral = 360°
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