Question

Find the value of x, y and z in the given figure.​

Answer 1

Answer:

Value of x is 70° , y is 110° and z is 110°.

Step-by-step explanation:

To find : Value of x, y and z .

Solution :

We know,

✿ Sum of all angles formed on straight line is equal to 180° or we can say linear pair.

So,

$\implies$ 70° + y = 180°

$\implies$ y = 180° - 70°

$\implies$ y = 110°

Value of y is 110°.

Now,

✿ Angles formed on opposite sides of two intersecting lines are equal. This statement is called Vertically opposite angles property.

$\implies$ x = 70° [By vertically opposite angles property]

Value of x is 70°.

Similarly,

$\implies$ y = z [By vertically opposite angles property]

• y = 110°

So,

$\implies$ z = 110°

Value of z is 110°.