Question

the sum of two opposite angles of a parallelogram is 120 degree find all the angles of the parallelogram
please tell step by step ​

Answer 1

Answer:

∠A = ∠x = 60°

∠B = ∠y = 120°

∠C = ∠x = 60°

∠D = ∠y = 120°

Step-by-step explanation:

Let the parallelogram be ABCD.

We know that in any parallelogram, opposite sides are always parallel.

So,

Let x = ∠A = ∠C

Let y = ∠B = ∠D

According to the question, ∠A + ∠C = 120°  

So, ∠x + ∠x = 120°

      = 2∠x = 120°

     = ∠x = 60°

∠x + ∠y = 180° (angles between parallel sides)

= ∠y = 180° - ∠x

= ∠y = 180° - 60°  

= ∠y = 120°

On replacing, we get:

∠A = ∠x = 60°

∠B = ∠y = 120°

∠C = ∠x = 60°

∠D = ∠y = 120°