Question

find x and y in the following figures.

Answer 1

In rhombus diagonal bisect at 90 degrees

Then angle AOB =90 Degrees

so a+b+c=180 degrees (angle sum property of a triangle)

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60 Degrees

Now we know that opposite angle of rhombus are equal

So  angle B = angle D

and  half angle B = half angle D

so x = y

y = 60 degrees