1. Name a pair of complementary angles. (1 point)

1 and 4
1 and 6
3 and 4
4 and 5

Well, if we're talking about pairs of complementary angles, they add up to 90 degrees, like a broken calculator trying to do math with just one working button. So, out of the options you've given me, the pair of complementary angles would be 3 and 4. They're like two peas in a pod, always adding up to make a perfect right angle!

To identify a pair of complementary angles, you need to understand what complementary angles are. Complementary angles are two angles whose measures add up to 90 degrees.

Let's go through the given options:

1 and 4: We don't know the measures of angles 1 and 4, so we cannot determine if they are complementary or not.

1 and 6: Once again, without knowing the measures of angles 1 and 6, we cannot determine if they are complementary or not.

3 and 4: Similar to the previous options, without knowing the measures of angles 3 and 4, we cannot determine if they are complementary or not.

4 and 5: Without knowing the measures of angles 4 and 5, we cannot determine if they are complementary or not.

In order to find a pair of complementary angles, you need to know their measures. Therefore, none of the given options can be identified as complementary angles without additional information.

The pair of complementary angles is 1 and 4.