Question

the sum of two opposite angles of a parallelogram is 120. Write in full explaination otherwise u will be reported

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Answer 1

Answer:

by vertically opposite angle

Step-by-step explanation:

it is written that

hope it helps you

Answer 2

Answer:

• REQUIRED ANSWER :)

QUESTION :

The sum of two opposite angles of a parallelogram is 120. What are the angles of the parallelograms?

SOLUTION :

In any parallelogram, opposite sides are parallel (which is the definition of parallelogram :) )

Due to this opposite angles are equal.

As in the above diagram, in any parallelogram ABCD, ∠A = ∠C = let ‘x’

and ∠B = ∠D = let ‘y’

Now according to the question, ∠A + ∠C = 120° or you can also take ∠B + ∠D = 120° (since opposite angles)

So, ∠x + ∠x = 120°

=> 2∠x = 120°

=> ∠x = 60°

Since ∠x + ∠y = 180° (Angles between llel sides)

So, ∠y = 180° - ∠x

=> ∠y = 180° - 60°

=> ∠y = 120°

Therefore,

∠A = ∠x = 60°

∠B = ∠y = 120°

∠C = ∠x = 60°

∠D = ∠y = 120°

Hope this helps :)