Question

34. The opposite angles of a parallelogram are __________________.
(a) Unequal (b) equal (c) complementary (d) supplementary

Answer 1

option (b) equal, it is equal

Answer 2

The opposite angles of a parallelogram are Equal 

Proof!

Consider a parallelogram ABCD, (AB||CD and DA||CB)

Construction-Diagonal AC

∠BAC = ∠ACD -----------------------(Alternate interior angles)→equation 1st
∠DAC = ∠CBA-------------------------(Alternate interior angles)→equation 2nd

Adding both equations,
we get,
∠BAD = ∠DCB
⇒∠A=∠C

And we know that angle A and C are opposite angles

hence,Proved