Question

find the value of the
angles x,y and z

Answer 1

Answer:

z=30( Vertically Opposite Angles)

x+30+90=180( Linear pair)

x=180-30-90

x=60

y+z=180(Linear pair)

y+30=180

y=180-30

y=150

This is your answer.

Hope this helps you!

Step-by-step explanation:

Answer 2

Given :

• Two angles are 90° and 30° .

To Find :

• Value of x , y and z .

Solution :

$\longmapsto\tt\bf{z=30^{\circ}\:(V.O.A)}$

Now ,

$\longmapsto\tt{30^{\circ}+x+90^{\circ}=180^{\circ}\:(Angles\:on\:one\:line)}$

$\longmapsto\tt{120^{\circ}+c=180^{\circ}}$

$\longmapsto\tt{x=180^{\circ}-120^{\circ}}$

$\longmapsto\tt\bf{x=60^{\circ}}$

Also ,

$\longmapsto\tt{y+z=180^{\circ}\:(Linear\:Pair)}$

$\longmapsto\tt{y+30^{\circ}=180^{\circ}}$

$\longmapsto\tt{y=180^{\circ}-30^{\circ}}$

$\longmapsto\tt\bf{y=150^{\circ}}$

Therefore :

$\longmapsto\tt\bf{Value\:of\:x=60^{\circ}}$

$\longmapsto\tt\bf{Value\:of\:y=150^{\circ}}$

$\longmapsto\tt\bf{Value\:of\:z=30^{\circ}}$