Question

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Answer 1

Let the two adjacent angles be x° and 2x° .

In a parallelogram, the sum of adjacent angles is 180°.

∴ x + 2x = 180°

⇒ 3x = 180°

⇒ x = 60°

Thus , the two adjacent angles are 120° and 60°. Hence, the angles of the parallelogram are 120°, 60°, 120° and 60°.

Answer 2

Let ABCD be the Parallelogram.

Let angle A be x°.

So, angle B(adjacent angle of angle A) will be 2x

or, ∠B=2x                               .....(i)

We know that the adjacent angles of a parallelogram form a linear pair of angles(i.e. their sum is 180°)

∴ According to question:

⇒ 2x+x=180

⇒3x= 180

⇒x= 180/2 ⇒ ∠A= 60°

Now, Putting value of x in (i):

2x ⇒ 2×60° ⇒ ∠B=120°

Since opposite angles of a parallelogram are equal,

∴ ∠A=∠C= 60°

and, ∠B=∠D= 120°

Hope this helps.