Question

Calculate all the angles of a parallelogram if one of its angles is twice its adjacent angle.
$\left[2Marks\right]$

Answer 1

Let the angle of the parallelogram given in the question statement be “x”.

Now, its adjacent angle will be 2x.

It is known that the opposite angles of a parallelogram are equal.

So, all the angles of a parallelogram will be x, 2x, x, and 2x
$\left[1Mark\right]$

As the sum of interior angles of a parallelogram = 360°,

x + 2x + x + 2x = 360°

Or, x = 60°

Thus, all the angles will be 60°, 120°, 60°, and 120°.
$\left[1Mark\right]$