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Two complementary angles are in the ratio 4:5. find these angles.?
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Two complementary angles are in the ratio 4:5. find these angles.?
Understanding Complementary Angles
Complementary angles are two angles whose sum equals 90 degrees. In this case, we need to find two complementary angles that are in the ratio of 4:5.
Step 1: Assign Variables
- Let the first angle be 4x.
- Let the second angle be 5x.
Step 2: Set Up the Equation
- According to the definition of complementary angles:
4x + 5x = 90 degrees
Step 3: Solve for x
- Combine like terms:
9x = 90 degrees
- Divide both sides by 9:
x = 10 degrees
Step 4: Find the Angles
- Now, substitute x back into the expressions for the angles:
- First angle: 4x = 4 * 10 = 40 degrees
- Second angle: 5x = 5 * 10 = 50 degrees
Conclusion
- The two complementary angles are:
- First angle: 40 degrees
- Second angle: 50 degrees
- These angles not only add up to 90 degrees but also maintain the ratio of 4:5, confirming our solution.
Complementary angles are two angles whose sum equals 90 degrees. In this case, we need to find two complementary angles that are in the ratio of 4:5.
Step 1: Assign Variables
- Let the first angle be 4x.
- Let the second angle be 5x.
Step 2: Set Up the Equation
- According to the definition of complementary angles:
4x + 5x = 90 degrees
Step 3: Solve for x
- Combine like terms:
9x = 90 degrees
- Divide both sides by 9:
x = 10 degrees
Step 4: Find the Angles
- Now, substitute x back into the expressions for the angles:
- First angle: 4x = 4 * 10 = 40 degrees
- Second angle: 5x = 5 * 10 = 50 degrees
Conclusion
- The two complementary angles are:
- First angle: 40 degrees
- Second angle: 50 degrees
- These angles not only add up to 90 degrees but also maintain the ratio of 4:5, confirming our solution.
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Two complementary angles are in the ratio 4:5. find these angles.?
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Two complementary angles are in the ratio 4:5. find these angles.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two complementary angles are in the ratio 4:5. find these angles.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two complementary angles are in the ratio 4:5. find these angles.?.
Two complementary angles are in the ratio 4:5. find these angles.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two complementary angles are in the ratio 4:5. find these angles.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two complementary angles are in the ratio 4:5. find these angles.?.
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