Question

in a parallelogram ABCD, if angle A=30 degree find the measure of the Other angles

Answer 1

In a Parallelogram the adjacent angles are supplementary and the opposite angles are equal.

So Adjacent angles of A are : ∠ B and ∠ D

Hence ∠ A + ∠ B = 180°

=> 30° + ∠ B = 180°

=> ∠ B = 180° - 30° = 150°

We know that ∠ A = ∠ C and ∠ B = ∠ D as they are opposite angles. Hence,

∠ A = ∠ C = 30°

∠ B = ∠ D = 150°