Question

If one angle of a llgm is 36 degree less then twice its adjacent angle then find the angle of llgm

Answer 1

Let, the measure of one angle of parallelogram=x

by given condition,
the measure of other angle=2x-36

the adjacent angles of parallelogram are supplementary
x+(2x-36)=180
x+2x-36=180
3x-36=180
3x=180+36
3x=216
x=216/3
x=72

the measure of one angle=72°
and the measure of other angle=2x-36
=2(72)-36
=144-36
=108°