Question

the sum of two opposite angles of a parallelogram is 140 degree.find all its angles.

Answer 1

let the four angles of parallelogram be a,b,c,d

since
the opposite angles of the parallelogram are equal i.e a. =c. &. b = d
therefore
a+b = 140
a+ a= 140
2a. = 140
a = 70°

b= 140 - 70
. = 70

therefore
b.+ c. = 360 - 140. =120

b+ b= 120
2 b= 120
b = 60°
c = 120 -60= 60°