Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

identifying angle pair relationships use the diagram to identify the sp…

Question

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

∠ADC and ∠BDC share side DC, their non-shared sides form a straight line (ADB), so they sum to $180^\circ$.

Step2: Identify complementary angle pair

Complementary angles sum to $90^\circ$. The orange mark at C indicates ∠ACD and ∠BCD form a right angle, so they are complementary.

Answer:

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