Question

The value of y in the following figure is ____________
40˚
60˚
50˚
45˚

Answer 1

Answer:

y=60° is the correct answer

Answer 2

We can see that, 4x° + 2x° forms a linear pair.

$\large\rm { 4x + 2x = 180}$

$\large\rm { 6x = 180}$

$\large\rm { x = 180/6}$

$\large\rm { x = 30^{\circ}}$

Now,

$\large\rm { 2x = 2(30) = 60}$

2x° = y° { Vertically Opposite angles}

So, y = 60°.

Hence, (iii) option is correct.