Question

The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measure of each of the
four angles.​

Answer 1

Let the angles be 2x

3x

4x

6x

From the angle sum property of quadrilateral

2x + 3x + 4x + 6x = 360

15 x = 360

x= 360/15

x = 24

2x = 2 * 24 = 48

3 x= 3* 24= 72

4x= 4 * 24= 96

6x = 6 * 24 =144

Answer 2

Answer:

let the angles be 2x,3x,4x,6x

therefore by angle sum property of quadrilateral

2x+3x+4x+6x=360

15x=360

x=360/15

x=24

therefore the angles are

2x=2×24=48

3x=3×24=72

4x=4×24=96

5x=5×24=120

therefore all the angles are 48,72,96,120 degree