Question

The measures of two adjacent angles of a parallelogram are in the ratio 3: 2. Find the measures of each of the angles of the parallelogram.

Answer 1

given the adjacent angles of a parallelogram are in ratio 2:3 
let the two adjacent angles of parallelogram  be 2 x and 3 x
adjacent angles of parallelogram is given as 180
2x+3x = 180°
5x = 180°
x = 180° / 5
x= 36° 
angles of parallelogram  are
2 x and 3 x                                             
2(36° ) and 3(36° )
=72°and 108°

Answer 2

let one angle of parallelogram be 3x.
nd other angle be 2x.

we know that sum of adjacent angles of parallegram =180

so,3x+2x=180
5x=180
x=180/5
x=36

therefore one angle =36×3=108degree.
and other angle =2×36=72degree


hope it will help......