Problem : Which pairs of angles in the following figure are supplementary?

Angles CAB and DAB, and angles CAE and DAE are supplementary pairs.

Problem : Which pairs of angles in the following figure are complementary?

Angles BAE and DAE

Problem : Which pairs of angles in the following figure are adjacent?

Angles CAB and BAE, angles CAB and DAB, angles CAE and DAE, and angles BAE and DAE

Problem : How many pairs of vertical angles are created when two lines intersect?

Two

Problem : Are vertical angles ever complementary or supplementary?

Yes. Vertical angles are complementary when they each measure 45 degrees. They are supplementary when each is 90 degrees.