Complementary Angles: Practice Test

📐 Complementary Angles Practice Test 📐

Let's test your knowledge of complementary angles! Remember, two angles are complementary if their measures add up to 90 degrees.

Instructions:

For each question, determine if the given angles are complementary. If they are, select 'Yes'. If not, select 'No'. Show your work when necessary.

Questions:

1. Question 1: Are angles measuring 30° and 60° complementary?

   Solution:

   30° + 60° = 90°

   Answer: Yes
2. Question 2: Are angles measuring 45° and 55° complementary?

   Solution:

   45° + 55° = 100°

   Answer: No
3. Question 3: Angle A measures 25°. Angle B measures 65°. Are they complementary?

   Solution:

   25° + 65° = 90°

   Answer: Yes
4. Question 4: Angle X measures 10°. Angle Y measures 80°. Are they complementary?

   Solution:

   10° + 80° = 90°

   Answer: Yes
5. Question 5: Angle P measures 50°. Angle Q measures 30°. Are they complementary?

   Solution:

   50° + 30° = 80°

   Answer: No

➕ Practice Problems ➕

Solve for the unknown angle to make the angles complementary.

1. Problem 1: One angle measures 35°. What must the other angle measure to be complementary?

   Solution:

   Let x be the unknown angle.

   35° + x = 90°

   x = 90° - 35°

   x = 55°

   Answer: 55°

2. Problem 2: One angle measures 72°. What must the other angle measure to be complementary?

   Solution:

   Let y be the unknown angle.

   72° + y = 90°

   y = 90° - 72°

   y = 18°

   Answer: 18°

3. Problem 3: One angle measures 17°. What must the other angle measure to be complementary?

   Solution:

   Let z be the unknown angle.

   17° + z = 90°

   z = 90° - 17°

   z = 73°

   Answer: 73°

💡 Key Concepts 💡

• Complementary angles add up to 90°.
• If you know one angle, you can find its complement by subtracting it from 90°.

📝 Summary 📝

You've now practiced identifying and calculating complementary angles. Keep practicing, and you'll master this concept in no time! 🚀