Question

In the figure given below, AB parallel to DC find the values of x,y and z

Answer 1

Answer:

x° = 30°

y° = 70

z° = 110°

Step-by-step explanation:

Since

AB║CD

We can consider the line DB as transversal line so

It is clear from the figure that

x°  and 30° are alternative angles

⇒ x° = 30°

because alternative angle are equal.

NOW

Sum of consecutive angles on same side = 180°

So

x° + y° - 30° + z° = 180°

putting x° = 30° we get

30° + y° - 30° + z° = 180°

⇒   z° = 180° - y°    ...............(1)

NOW

On the other side

sum of consecutive angles = 180°

So

y° + 30° + 80° = 180°

y° = 180° - 80° - 30° = 180° -  110°

y° = 70°

Putting y° = 70° in equation (1) we get

z° = 180° - 70° = 110°

So

z° = 110°

Thus

x° = 30°

y° = 70

z° = 110°

Answer 2

Answer:

x=30

y=70

z=110

hope this may help you