Question

The angles of quadrilateral are in the ratio of 1: 2: 3: 4. Find all the angles. (Please explain your procedure)

Answer 1

1:2:3:4 are the angles of a quadrilateral in ratio

1 y ,2y ,3y ,4y

Sum of measures of all angles of a triangles are :- 360degree

360 degree = (1+2+3+4) y

360 = 10 y

360/ 10 = y

y = 36

Answer 2

Given: angles of quadrilateral in ratio 1 : 2 : 3 : 4

To Find: All the angles

Solution: Let angle A=1x

angle B=2x

angle C=3x

angle D =4x

Sum of all the angles of quadrilateral is 360°

=angle A+ angle B + angle C + angle D = 360 °

=1x+ 2x + 3x + 4x = 360°

=10x=360°

=x=36

so