Question

In the following figure find x , y and z​

Answer 1

Answer:

in the triangle x= 180-(90+30)......... (angle sum property)

so x=60°

now, x+y=180°...... ( linear pair )

but x=60°

so y = 120°

as y and z are vertically opposite angles.....

this implies z=y=120°

HOPE THIS HELPS YOU

Answer 2

Answer:

value of x= 60 degree

              y= 120 degree

              z= 120 degree

one of the angles is 30 degree and other is 90 degree,

Angle sum property of triangle concludes that sum of all angles in a triangle = 180 degree

therefore, by the angle sum property of triangle,  

x + 90 + 30 = 180

= x = 180 - 120

x = 60 degree

as x and z lie on the same lime, the sum of x and z = 180 degree (by supplementary angles)

therefore, x+z = 180 degree

we already know that x = 60 degree

therefore z = 180-60 = 120 degree

z and y are vertically opposite angles, vertically opposite angles are equal.

thus, y =z = 120 degree

Hope you  are satisfied by the answer.