Question

Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .

Answer 1

• 
  `\angle ADC$ and \angle BDC$ are supplementary.`
• A pair of complementary angles is angles ACD and DCB.

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:

`\angle ADC$ and \angle BDC$ are supplementary.`

Furthermore,

`\angle ACB$ is a right angle.\\\angle ACB=\angle ACD+\angle DCB\\$Therefore, \angle ACD$ and \angle DCB$ are complementary.`

A pair of complementary angles is angles ACD and DCB.