What are the respective values of x, y, and z for parallelogram ABCD?

A.56.31°, 67.38°, 67.38°

B.67.38°, 33.69°, 67.38°

C.28.15°, 56.31°, 33.69°

D.56.31°, 56.31°, 67.38°

http://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/2533fd5b23794af4bb18d2f344b8c700

Question

What are the respective values of x, y, and z for parallelogram ABCD?

A.56.31°, 67.38°, 67.38°

B.67.38°, 33.69°, 67.38°

C.28.15°, 56.31°, 33.69°

D.56.31°, 56.31°, 67.38° 

http://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/2533fd5b23794af4bb18d2f344b8c700

anonymous · Answer

use the properties to determine x, y, z:
x:  opposite angles of a parallelogram;
y:  alternate interior angle theorem;
z:  sum of the angles of a triangle = 180