Mathematics
Use the information given in the following diagram to find the values of x, y and z.

Related Questions
The given figure shows a parallelogram ABCD. Points M and N lie in diagonal BD such that DM = BN. Prove that:
(i) △DMC ≅ △BNA and so CM = AN.
(ii) △AMD ≅ △CNB and so AM = CN.
(iii) ANCM is a parallelogram.

The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and y.

The following figure is a rectangle in which x : y = 3 : 7; find the values of x and y.

In the given figure, AB // EC, AB = AC and AE bisects ∠DAC. Prove that:

(i) ∠EAC = ∠ACB
(ii) ABCE is a parallelogram.