Question

In the given figure, the value of y is

Options

• 20°

• 30°

• 45°

• 60°

Answer 1

In the given figure, x°and  y°are vertically opposite angles, therefore, these must be equal.

That is,

  x =y         ...(i)

Also, 2x°, y°and 3x° form a linear pair. Therefore, their sum must be supplementary.

That is,

2x + y + 3x = 180°

From (i) equation, we get:

2x + x +3x = 180°

6x = 180°

`x = (180°) /6`

x = 30°

From (i) equation again,

 y =30°