Question

how the sum of adjacent angles of parallelogram is 180 degree not 360 degree? Please Prove.

Answer 1

Answer:

Step-by-step explanation:

Let ABCD be a parallelogram 

Then, AD ∥ BC and AB is a transversal. 

Therefore, A + B = 180° [Since, sum of the interior angles on the same side of the transversal is 180°] 

Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠D + ∠A = 180°. 

Thus, the sum of any two adjacent angles of a parallelogram is 180°. 

Answer 2

hlo mate ✌️

Let ABCD be a parallelogram

Then, AD ∥ BC and AB is a transversal.

Therefore :

∠B + ∠C = 180°,

∠C + ∠D = 180° and

∠D + ∠A = 180°.

☞ 360 ° is only possible in case of circular motion

Hope it helps ❣️