Question

The four angles of a quadrilateral are in the ratio 3 : 4:5:6. Find the angles.
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Answer 1

Let the angles be 3x, 4x, 5x, and 6x respectively

Given that they are angles of a quadrilateral

Therefore using the angle sum property we get

3x + 4x + 5x + 6x = 360

therefore 18x = 360

therefore x = 360/18

therefore x = 20

Hence the angles are

3x = 60

4x = 80

5x = 100

6x = 120

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