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If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x?
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If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x?
Understanding Linear Pairs
In geometry, a linear pair consists of two adjacent angles formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.
Given Angles
We have three expressions representing angles:
- 5x + 10
- 4x - 10
- 2x + 5
Since we are looking for a linear pair, we can take any two angles from the given expressions.
Selecting Two Angles
Let's consider the first two angles:
- Angle 1: 5x + 10
- Angle 2: 4x - 10
Setting Up the Equation
According to the linear pair property:
(5x + 10) + (4x - 10) = 180
Simplifying the Equation
Combine like terms:
5x + 10 + 4x - 10 = 180
This simplifies to:
9x = 180
Solving for x
Now, divide both sides by 9:
x = 20
Conclusion
The value of x is 20.
You can check this result by substituting x back into the original angle expressions to ensure they add up to 180 degrees, confirming that the angles indeed form a linear pair.
In geometry, a linear pair consists of two adjacent angles formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.
Given Angles
We have three expressions representing angles:
- 5x + 10
- 4x - 10
- 2x + 5
Since we are looking for a linear pair, we can take any two angles from the given expressions.
Selecting Two Angles
Let's consider the first two angles:
- Angle 1: 5x + 10
- Angle 2: 4x - 10
Setting Up the Equation
According to the linear pair property:
(5x + 10) + (4x - 10) = 180
Simplifying the Equation
Combine like terms:
5x + 10 + 4x - 10 = 180
This simplifies to:
9x = 180
Solving for x
Now, divide both sides by 9:
x = 20
Conclusion
The value of x is 20.
You can check this result by substituting x back into the original angle expressions to ensure they add up to 180 degrees, confirming that the angles indeed form a linear pair.
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If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x?
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If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x? 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 If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x?.
If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x? 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 If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5x + 10, 4x - 10, 2x+ 5, are in linear pair , find the value of x?.
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