Question

The angles of a quadrilateral are in the ratio 3: 4: 6: 11. Find all the
angles of quadrilateral​

Answer 1

Answer:

let angles be multiple of x

3x+4x+6x+11x = 360

24x = 360

x = 360/24 = 15°

angles are 45°,60°,90°,165°

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Answer 2

Answer:

let the angels be 3x, 4x, 6x, 11x

we know that the sum of all interior angles of a quad. is 360

3x+4x+6x+11x=360

24x=360

x=360/24

x=15

then 3x=3×15=45°

4x=4×15=60°

6x=6×15=90°

11x=11×15=165°

45°,60°,90,165° are the angles of quadrilateral