Math Problem Statement
Find x
Solution
The image shows a pair of vertically opposite angles, one labeled as and the other as . Since vertically opposite angles are always equal, we can set the two expressions equal to each other.
Now, let's solve for .
- Subtract from both sides:
- Subtract 10° from both sides:
- Divide by 3:
So, .
Would you like more details on this solution, or have any further questions?
Here are 5 related questions to deepen your understanding:
- What are vertically opposite angles, and why are they always equal?
- How would the solution change if the angles were adjacent instead of opposite?
- What is the sum of angles in a straight line, and how does that property help in angle problems?
- How would you solve for if both angles were expressed in terms of variables?
- Why is solving for important in understanding the properties of angles?
Tip: In geometry problems, recognizing angle relationships such as vertical angles, corresponding angles, or alternate angles often leads directly to equations that are easier to solve!
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Vertically Opposite Angles
Formulas
4x + 10° = x
Theorems
Vertically Opposite Angles Theorem
Suitable Grade Level
Grades 7-9
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