Question

The angles of a quadrilateral are in the ratio 2:3:4:1.find the measure of each angle of quadrilateral.

Answer 1

Let the common ratio be x.
Then the four angles of the quadrilateral are 2x, 3x, 4x, x.
According to the angle sum property of quadrilateral,
2x + 3x + 4x + x = 10x
⇒ 10x = 360
⇒ x = 360/10
⇒ x = 36 degree

Angle 2x=36*2=72
Angle 3x=36*3=108
Angle 4x=36*4=144
Angle x=36