Question

ef two adgacent angle of a parallelogram are in the ratio 1:3then find its all angles

Answer 1

let the angle be 1x and 3x.
then,
1x + 3x = 180 ( adjacent angles )
4x = 180
x = 180/4
x = 45 degree ans.
3x = 3*45 = 135 degree ans.
opposite angles are equal .. therefore, angles of parallelogram will be..
45,135,45,135 Ans.

Answer 2

let the 4 angles of the parallelogram be x,3x,x,3x.(since opposite angles of a parallelogram are equal)
we know that sum of all the angles of a quadrilateral=360 degree.
according to the question,
x+x+3x+3x=360
=8x=360
=x=45 degrees.
so,the angles are 45,45, 135,135 degrees.