Question

if an angle. of a parallelogram is four-fifths of its adjacent angle,f ind the angles of the parallelogram.​

Answer 1

Let the adjacent angle be X

then the other angle would be 4÷5×X

we know that sum of adjacent angle of a parallelogram is 180. so, x+4÷5×x=180

x=100 and 4÷5×X =80

in a parallelogram the opposite angles are equal.

so, if X or100was a then c would be 100

and if b was 4÷5×X or 80 then d would also be 80.

a= 100, b= 80, c= 100 and d= 80