Question

complementary and supplementary identifying angle pair relationships use the diagram to identify the special angle pairs. ∠adc and ∠bdc are a pair of complementary angles is angles

Explanation:

Step1: Recall angle - pair definitions

Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. Also, adjacent angles share a common side and a common vertex.

Step2: Analyze ∠ADC and ∠BDC

Since ∠ADC and ∠BDC share a common side (ray $\overrightarrow{DC}$) and a common vertex (point D), and they form a straight - line ∠ADB, ∠ADC+∠BDC = 180°. So, ∠ADC and ∠BDC are supplementary angles and adjacent angles.

Step3: Look for complementary angles

There is no indication in the diagram that any two angles add up to 90 degrees. A possible pair of complementary angles in a right - angled triangle would be two non - right angles, but there is no right - angled triangle shown with angles that sum to 90 degrees.

Answer:

∠ADC and ∠BDC are supplementary angles (and adjacent angles); A pair of complementary angles: None (or no such pair in the diagram)