Question

use the diagram to identify the special angle pairs.
∠adc and ∠bdc are complementary angles.
a pair of complementary angles is angles
acd and bcd
bce and acd
eca and acd
dbc and ace

Explanation:

To determine complementary angles, we check if their sum is \(90^\circ\). From the diagram, \(\angle ACD\) and \(\angle BCD\) form a right angle (as indicated by the red right - angle mark at \(C\) between them), so their sum is \(90^\circ\), meaning they are complementary. \(\angle BCE\) and \(\angle ACD\): \(\angle BCE\) and \(\angle ACD\) are vertical angles or related in a way that doesn't sum to \(90^\circ\). \(\angle ECA\) and \(\angle ACD\): These two angles are adjacent and form a straight line (since \(E - C - D\) is a straight line), so their sum is \(180^\circ\) (supplementary), not \(90^\circ\). \(\angle DBC\) and \(\angle ACE\): There's no indication that their sum is \(90^\circ\). So the pair of complementary angles is \(\angle ACD\) and \(\angle BCD\).

Answer:

ACD and BCD