Question

In the figure,ABCD is a rhombus. Find the value of x and y

Answer 1

Adjacent angles of a parallelogram are supplementary,
Hence A + D = 180

80+x+y=180

=> x+y=100

Now,we also know that diagonals of a rhombus bisect its angles,
=> x=y

Thus x=y=50

Answer 2

Answer:

The value of x and y is 50 degrees.

Step-by-step explanation:

In this figure we have to calculate the angles, x and y.

We can apply the rules of parallelogram to a rhombus because, Rhombus is a parallelogram.

Therefore, in a parallelogram the adjacent angles are supplementary, i.e., their sum is 180 degree.

Thus, from the figure, 80 + x + y = 180,

x + y = 100.

Also, in a rhombus, the diagonals bisect the angle => x = y,

x + x = 100 => 2x = 100 => x = 50

x = y = 50 degrees.