Question
A figure consists of four angles: two of the angles have a measure of 45°
and the other two angles have a measure of 50°
. Which two angle measures correspond to complementary angles?(1 point)
Responses
45°
and 50°
45 degrees and 50 degrees
90°
and 100°
90 degrees and 100 degrees
50°
and 50°
50 degrees and 50 degrees
45°
and 45°
and the other two angles have a measure of 50°
. Which two angle measures correspond to complementary angles?(1 point)
Responses
45°
and 50°
45 degrees and 50 degrees
90°
and 100°
90 degrees and 100 degrees
50°
and 50°
50 degrees and 50 degrees
45°
and 45°
Answers
GPT-4o mini
Complementary angles are two angles whose measures add up to 90°.
In this case, we can check the pairs of angles:
- \( 45° + 50° = 95°\) (not complementary)
- \( 90° + 100° = 190°\) (not complementary)
- \( 50° + 50° = 100°\) (not complementary)
- \( 45° + 45° = 90°\) (complementary)
Therefore, the two angle measures that correspond to complementary angles are **45° and 45°**.
In this case, we can check the pairs of angles:
- \( 45° + 50° = 95°\) (not complementary)
- \( 90° + 100° = 190°\) (not complementary)
- \( 50° + 50° = 100°\) (not complementary)
- \( 45° + 45° = 90°\) (complementary)
Therefore, the two angle measures that correspond to complementary angles are **45° and 45°**.