Math Problem Statement
Solution
In this diagram, two parallel lines (JK and LM) are intersected by a transversal (HI). The angles and are formed at the points of intersection. Since JK and LM are parallel, we can apply the rule that corresponding angles are equal.
The angle is corresponding to the angle , so:
Now, let's solve for :
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Subtract from both sides:
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Add 10 to both sides:
Thus, .
Would you like more details or have any further questions?
Related Questions:
- What are alternate interior angles, and how can they be used in similar problems?
- How can the concept of supplementary angles be applied when working with transversals?
- Are there any other ways to verify if two angles are congruent in parallel line setups?
- What happens if the lines are not parallel but you still use transversal properties?
- How does solving for angles in geometry differ when working with polygons?
Tip: When solving for unknowns using angles in parallel lines, always check if the angles are corresponding, alternate interior, or supplementary to determine equality.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles
Parallel Lines
Transversals
Formulas
Corresponding Angles Theorem
Theorems
Corresponding Angles Postulate
Suitable Grade Level
Grades 8-10
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