Class 6 Exam > Class 6 Questions > If angle A is 150° and angle B is 30°, what c...
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If angle A is 150° and angle B is 30°, what can be said about angles A and B?
- a)They form a linear pair.
- b)They are vertical angles.
- c)They are supplementary.
- d)They are complementary.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If angle A is 150° and angle B is 30°, what can be said about angles A...
Angles A and B are supplementary because their measures add up to 180° (150° + 30° = 180°). Supplementary angles are a fundamental concept in understanding angle relationships in geometry.
Community Answer
If angle A is 150° and angle B is 30°, what can be said about angles A...
Understanding Angles A and B
To analyze the relationship between angle A (150°) and angle B (30°), we can assess their definitions and properties.
Definition of Supplementary Angles
- Two angles are considered supplementary if the sum of their measures equals 180°.
- In this case, we can calculate:
- Angle A: 150°
- Angle B: 30°
- Sum: 150° + 30° = 180°
- Since the sum is equal to 180°, angles A and B are supplementary.
Other Angle Relationships
To clarify why the other options are incorrect:
- Linear Pair:
- A linear pair consists of two adjacent angles that form a straight line (sum to 180°). While angles A and B sum to 180°, they are not adjacent; hence they do not form a linear pair.
- Vertical Angles:
- Vertical angles are formed when two lines intersect, creating pairs that are opposite each other. Angles A and B are not formed in this way.
- Complementary Angles:
- Complementary angles sum to 90°. Since 150° + 30° = 180°, they do not meet this criterion.
Conclusion
Ultimately, the correct answer is option 'C': angles A and B are supplementary because their measures add up to 180°. This fundamental property of angles helps in solving many geometric problems.
To analyze the relationship between angle A (150°) and angle B (30°), we can assess their definitions and properties.
Definition of Supplementary Angles
- Two angles are considered supplementary if the sum of their measures equals 180°.
- In this case, we can calculate:
- Angle A: 150°
- Angle B: 30°
- Sum: 150° + 30° = 180°
- Since the sum is equal to 180°, angles A and B are supplementary.
Other Angle Relationships
To clarify why the other options are incorrect:
- Linear Pair:
- A linear pair consists of two adjacent angles that form a straight line (sum to 180°). While angles A and B sum to 180°, they are not adjacent; hence they do not form a linear pair.
- Vertical Angles:
- Vertical angles are formed when two lines intersect, creating pairs that are opposite each other. Angles A and B are not formed in this way.
- Complementary Angles:
- Complementary angles sum to 90°. Since 150° + 30° = 180°, they do not meet this criterion.
Conclusion
Ultimately, the correct answer is option 'C': angles A and B are supplementary because their measures add up to 180°. This fundamental property of angles helps in solving many geometric problems.
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If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer?.
If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If angle A is 150° and angle B is 30°, what can be said about angles A and B?a)They form a linear pair.b)They are vertical angles.c)They are supplementary.d)They are complementary.Correct answer is option 'C'. Can you explain this answer?.
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