Question

Question :-
If angles of quadrilateral are in ratio 4:6:10:14.Find all the angles of the quadrilateral?

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Answer 1

sum if interior angle of quadrilateral = 360°

4x + 6x + 10x + 14x = 360

34x = 360

X = 360/34 = 10.6°

4x = 42.4°

6x = 6.36°

10x = 106°

14x = 148.4°

Answer 2

Answer:

let the common be 'x'

the angles = 4x , 6x , 10x , 14x

the angle sum property of quadrilateral = 360°

4x + 6x + 10x + 14x = 360°

34x = 360°

x = 360/34 = 10.58°

4x = 4×10.58 = 42.32°

6x = 6×10.58 = 63.48°

10x = 10×10.58 = 105.8°

14x = 14× 10.58 = 148.12°

let's check :-

42.32 + 63.48 + 105.8 + 148.12

= approximately 360