Math Problem Statement
Use the figure to find the value of x.
Solution
The image shows two intersecting lines, forming a pair of vertically opposite angles. One angle is given as , and its vertically opposite angle is . Vertically opposite angles are always equal, so we can set up the equation:
Now, solving for :
So, the value of is .
Would you like further details or explanations on any part of this solution?
Here are five questions you might find interesting:
- How do vertically opposite angles help in solving such problems?
- What are other angle properties in intersecting lines?
- Can supplementary angles be used in this problem?
- How can we verify that is correct?
- What if the angles were complementary or supplementary? How would that affect the equation?
Tip: Always check if the problem involves vertically opposite angles when two lines intersect—they are always equal!
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Math Problem Analysis
Mathematical Concepts
Algebra
Angles
Linear Equations
Formulas
Vertically opposite angles are equal
Theorems
Vertically Opposite Angle Theorem
Suitable Grade Level
Grades 8-10