Question

Ratio of consecutive angles of a quadrilateral is 1:2:3:4. Find the measure of its each angle. Write, with reason, what type of a quadrilateral it is.

Answer 1

sum of measure of all angles of a quadiilateralr are 360°.. so 1x + 2 x + 3x + 4x= 360... 10x = 360.... x = 36... so 2x = 2*36__72.. 3x = 3*36= 108.. 4x = 4*36.. 144... so angles measure are...
36,72,108,144 degree

Answer 2

As it is given that the ratio of a consecutive quadrilateral =1x,2x,3x,4x

sum of the angles of a quadrilateral =360°

=1x+2x+3x+4x =360°
=10x=360°
=X=360°/10
=X =36°
so, 1×X=1×36°=36°
2×X=2×36°=72°
3×X=3×36°=108°
4×X=4×36°=144°