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Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .?
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Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree...
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Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree...
Explanation:
1. Linear Pair:
- When two angles form a linear pair, they are adjacent angles whose measures add up to 180 degrees.
- In this case, angles AOC and BOC form a linear pair because they are adjacent and their sum is 180 degrees.
2. Equation Setup:
- Let angle AOC be denoted as 'a' and angle BOC be denoted as 'b'.
- According to the given equation a - 2b = 30 degrees.
3. Linear Pair Property:
- Since angles AOC and BOC form a linear pair, we have a + b = 180 degrees.
4. Solving the Equations:
- Substituting a = 2b + 30 in the equation a + b = 180, we get:
2b + 30 + b = 180
3b + 30 = 180
3b = 150
b = 50 degrees
- Substituting b = 50 in the equation a = 2b + 30, we get:
a = 2(50) + 30
a = 100 + 30
a = 130 degrees
5. Conclusion:
- Therefore, angle AOC is 130 degrees and angle BOC is 50 degrees to satisfy the condition a - 2b = 30 degrees and the linear pair property.
1. Linear Pair:
- When two angles form a linear pair, they are adjacent angles whose measures add up to 180 degrees.
- In this case, angles AOC and BOC form a linear pair because they are adjacent and their sum is 180 degrees.
2. Equation Setup:
- Let angle AOC be denoted as 'a' and angle BOC be denoted as 'b'.
- According to the given equation a - 2b = 30 degrees.
3. Linear Pair Property:
- Since angles AOC and BOC form a linear pair, we have a + b = 180 degrees.
4. Solving the Equations:
- Substituting a = 2b + 30 in the equation a + b = 180, we get:
2b + 30 + b = 180
3b + 30 = 180
3b = 150
b = 50 degrees
- Substituting b = 50 in the equation a = 2b + 30, we get:
a = 2(50) + 30
a = 100 + 30
a = 130 degrees
5. Conclusion:
- Therefore, angle AOC is 130 degrees and angle BOC is 50 degrees to satisfy the condition a - 2b = 30 degrees and the linear pair property.
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Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .?
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Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .?.
Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ln a figure angle AOC and BOC form a linear pair . lf a - 2b =30degree ,find a and b .?.
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