Answer: The correct option is
(D) x = 29, y = 49, z = 102.
Step-by-step explanation: We are given to find the values of the variables x, y and z in the parallelogram shown.
Let us label the given parallelogram as ABCD, shown in the attached figure.
Here,
m∠CAB = 29°, m∠ABC = 102°.
Now, since AB is parallel to CD and AC is a transversal. So,
Now, in triangle ABC, we have
Again, we know that the measures of the opposite angles of a parallelogram are equal.
So,
Thus, the required values are
x = 29, y = 49, z = 102.
Option (D) is CORRECT.