Question

if a pair of adjacent angles of a parallelogram are in the ratio 5 : 7 then find out the angles of the parallelogram

Answer 1

the sum of adjacent sides of parallelogram is 180

let the common ratio be x

so the angles are 5x and 7x

now,

5x + 7x = 180

12x = 180

x = 180/12

x = 15

therfore , the angles are

5*15 =   75 .......................... 1 angle

7*15 =   105 .........................2 angle