Question

In a parallelogram,one obtuse angle is 3x+40° and one acute angle is 7x-60°.find the measures of the angles of the parallelogram.​

Answer 1

as we know if that opp. angle of a parallelogram is equal then

2×3x+40=6x+80°

and

2×7x-60=14x-120°

some of all angles in a parallelogram is 360

6x+80°+14x-120°=360°

20x-40°=360°

20x=400°

x=20° then

3x+40°=3×20+40=100°

and 7x-60°=7×20-60=80°

then all Angles of parallelogram is 100°,100°,80°and 80°