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etry: concepts and connections (27.0821000) yl ic (spring) complementar…

Question

etry: concepts and connections (27.0821000) yl ic (spring)
complementary and supplementary angles
assignment active
identifying angle pair relationships
use the diagram to identify the special angle pairs.
$angle adc$ and $angle bdc$ are
a pair of complementary angles is angles

Explanation:

Step1: Analyze ∠ADC and ∠BDC

Points A, D, B form a straight line, so ∠ADC + ∠BDC = 180°. Angles summing to 180° are supplementary.

Step2: Identify complementary angles

Complementary angles sum to 90°. The red right angle mark at C means ∠ACD and ∠BCD add to 90°, so they are complementary.

Answer:

∠ADC and ∠BDC are supplementary angles.
A pair of complementary angles is angles ∠ACD and ∠BCD.