Question

the angles of a quadrilateral are in a ratio of 2:3:4:6 find the measures of all angles

Answer 1

let the all angles of quadrilateral be x so
2:3:4:6
2x,3x,4x,5x
as all angles of quadrilateral measures 360°
so 2x+3x+4x+6x=360°
15x=360°
x=360/15
x=24

now by substituting the value of x in each angle
2x=2×24=48°
3x=3×24=72°
4x=4×24=96°
6x=6×24=144°

all angles of quadrilateral are 48°, 72°,96°, 144°


hope u like my answer :)

Answer 2

Let angles of quadrilateral be 2x,3x,4x and 6x
Now,by angle sum property of quadrilateral
2x+3x+4x+6x=360
15x=360
x=360/15
x=24
Now, 2x=2×24=48
3x=3×24=72
4x=4×24=96
6x=6×24=144
Hence, angles of quadrilateral are 48,72,96,144