Math Problem Statement
Find the value of X
Solution
To find the value of in the given problem, we can use the properties of angles, specifically those related to vertical angles and the fact that the angles in a right angle must sum to 90°.
Step-by-Step Solution:
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Identify the given angles:
- One angle is given as .
- Another angle is expressed as .
- There is a right angle, which measures .
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Recognize the relationships:
- The two angles labeled and are supplementary because they are adjacent and together form the right angle. This means:
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Set up the equation:
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Simplify the equation:
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Solve for :
So, the value of is approximately 6.55.
Would you like more details on this solution or have any questions?
Here are 5 related questions you might find helpful:
- How do you find supplementary angles if one angle is unknown?
- What is the significance of vertical angles in geometry?
- How can you solve for when multiple angles are given in an equation?
- What is the relationship between adjacent angles and their sum?
- How do right angles influence the equations we set up for finding unknown variables?
Tip: Remember that angles on a straight line always add up to 180°, which can be very useful in solving various angle-related problems.
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Formulas
Sum of angles in a right angle (90°)
Equation for supplementary angles
Theorems
Angle Sum Theorem
Supplementary Angles
Suitable Grade Level
Grades 8-10
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