Question

the opposite angles of parallelogram are equal if true than give reason

Answer 1

Answer:

True....

As opposite sides of Parallelogram are equal ..... Opposite angles of Parallelogram are also equal....

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Answer 2

Answer:

True. See image angles are named 1,2,3,4

Step-by-step explanation:

In parallelogram, opposite sides are parallel.

Therefore, 1+2 = 180 ( co-interior angles)

Also, 1+3 = 180 ( co-interior angles)

Therefore, 2 = 3.

But 2 and 3 are opposite angles.

(Similarly, we can prove 1 = 4)

Therefore, opposite angles of a parallelogram are equal.

Hence Proved