Question
Which of these angles are complementary?
A99º
B81º
C57º
D33º
Angle and angle are complementary angles.
A99º
B81º
C57º
D33º
Angle and angle are complementary angles.
Answers
Answered by
GPT-4o mini
Two angles are considered complementary if the sum of their measures equals 90 degrees.
Let's evaluate the given angles:
- Angle A: 99º
- Angle B: 81º
- Angle C: 57º
- Angle D: 33º
Now, let's find pairs that sum to 90:
1. **A (99º)** - Not complementary with any angle since it's already greater than 90º.
2. **B (81º)** + **D (33º)** = 81º + 33º = 114º (not complementary)
3. **B (81º)** + **C (57º)** = 81º + 57º = 138º (not complementary)
4. **C (57º)** + **D (33º)** = 57º + 33º = 90º (complementary)
Thus, Angle C (57º) and Angle D (33º) are complementary angles.
So, the answer is:
**C and D are complementary angles.**
Let's evaluate the given angles:
- Angle A: 99º
- Angle B: 81º
- Angle C: 57º
- Angle D: 33º
Now, let's find pairs that sum to 90:
1. **A (99º)** - Not complementary with any angle since it's already greater than 90º.
2. **B (81º)** + **D (33º)** = 81º + 33º = 114º (not complementary)
3. **B (81º)** + **C (57º)** = 81º + 57º = 138º (not complementary)
4. **C (57º)** + **D (33º)** = 57º + 33º = 90º (complementary)
Thus, Angle C (57º) and Angle D (33º) are complementary angles.
So, the answer is:
**C and D are complementary angles.**
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