Question

find the measure of all angles of parallelogram if me angle is 24 less then twice the smallest angle.

Answer 1

let smallest angle be x
then
2x-24 , 2x-24 , x , x.
are the angles of a parallelogram because opposite angles of a parallelogram are same
then
2x-24+2x-24+x+x=360
sum of all angles of a quadrilateral is equal to 360
then
2(2x-24)+2x=360
4x-48+2x=360
6x=408
x=68



so the angles are 68 , 2×68-24 ,68 2×68-24
so 68,112,112,68. are the all angles of a parallelogram.
opposite angles of a parallelogram are same.




plzzz brainliest it dear.