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If two angles are complementary, then the sum of their measures is __________.
- a)360°
- b)90°
- c)180°
- d)45°
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If two angles are complementary, then the sum of their measures is ___...
If two angles are Complementary - means when we add both the angles the Answer will always be '90 degree'.
Sum of their measures is -
We do not know the value of the angles so we can take them as 'x' and as we know that these angles are complementary meaning 90 degree each so their sum will be 180 degree
So the equation will be =
x+x=180
2x=180
x=180/2
x=90
Therefore the Answer will be 'Option [b] 90 degrees'
Sum of their measures is -
We do not know the value of the angles so we can take them as 'x' and as we know that these angles are complementary meaning 90 degree each so their sum will be 180 degree
So the equation will be =
x+x=180
2x=180
x=180/2
x=90
Therefore the Answer will be 'Option [b] 90 degrees'
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If two angles are complementary, then the sum of their measures is ___...
Understanding Complementary Angles
Complementary angles are an important concept in geometry. They are defined as two angles whose measures add up to a specific total.
Definition of Complementary Angles
- Complementary angles are two angles that sum to 90 degrees.
- This means that if you have one angle measuring x degrees, the other angle will measure (90 - x) degrees.
Why 90 Degrees?
- The choice of 90 degrees is significant because it represents a right angle.
- Right angles are fundamental in geometry, making complementary angles important for constructing and understanding various shapes and figures.
Examples of Complementary Angles
- If one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90.
- Similarly, an angle of 45 degrees has a complementary angle of 45 degrees (45 + 45 = 90).
Conclusion
In summary, when two angles are complementary, their measures always sum to 90 degrees. This is a foundational principle in geometry and is essential for solving various problems related to angles and shapes. Understanding this concept helps in grasping more advanced topics in mathematics and spatial reasoning.
Complementary angles are an important concept in geometry. They are defined as two angles whose measures add up to a specific total.
Definition of Complementary Angles
- Complementary angles are two angles that sum to 90 degrees.
- This means that if you have one angle measuring x degrees, the other angle will measure (90 - x) degrees.
Why 90 Degrees?
- The choice of 90 degrees is significant because it represents a right angle.
- Right angles are fundamental in geometry, making complementary angles important for constructing and understanding various shapes and figures.
Examples of Complementary Angles
- If one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90.
- Similarly, an angle of 45 degrees has a complementary angle of 45 degrees (45 + 45 = 90).
Conclusion
In summary, when two angles are complementary, their measures always sum to 90 degrees. This is a foundational principle in geometry and is essential for solving various problems related to angles and shapes. Understanding this concept helps in grasping more advanced topics in mathematics and spatial reasoning.
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If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer?.
If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two angles are complementary, then the sum of their measures is __________.a)360°b)90°c)180°d)45°Correct answer is option 'B'. Can you explain this answer?.
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