Question

Prove that in a parallelogram, two adjacent angles is 180 degree

Answer 1

Answer:

Step-by-step explanation:

in a parallelogram all sides add upto 360 degree.

The opposite angles are equal in all cases.

Thus let one angle be x and other be y

2x+2y=360

lets divide everything by 2

x+y=180

hence proved, also x and y cant be opposite as opposite angles are equal

Answer 2

Answer:

Prove that any two adjacent angles of a parallelogram are 180 degree . Then, AD ∥ BC and AB is a transversal. Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠D + ∠A = 180°. Thus, the sum of any two adjacent angles of a parallelogram is 180°.

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