Answer:
- [tex]\angle ADC$ and \angle BDC$ are supplementary.[/tex]
- A pair of complementary angles is angles ACD and DCB.
Step-by-step explanation:
Definitions
- Two or more angles are supplementary if they add up to 180 degrees.
- Two or more angles are complementary if they add up to 90 degrees.
In the diagram which is attached below:
Angles ADC are BDC are on a straight line, and they add up to 180 degrees.
Therefore:
[tex]\angle ADC$ and \angle BDC$ are supplementary.[/tex]
Furthermore,
[tex]\angle ACB$ is a right angle.\\\angle ACB=\angle ACD+\angle DCB\\$Therefore, \angle ACD$ and \angle DCB$ are complementary.[/tex]
A pair of complementary angles is angles ACD and DCB.
