Math Problem Statement
Solution
The image shows two intersecting lines, with one of the angles labeled as 131°. You are asked to find the measure of the missing angle.
Since the two angles form a pair of vertically opposite angles, and vertically opposite angles are always equal, the measure of the missing angle is also 131°.
Let me know if you'd like more details or explanations on this. Here are some related questions to explore this concept further:
- What are vertically opposite angles, and why are they always equal?
- Can two angles be vertically opposite and not equal? Why or why not?
- How do you determine the measure of angles that form a straight line?
- What is the relationship between supplementary and vertically opposite angles?
- How can you apply the concept of vertically opposite angles in solving real-world problems?
Tip: Always remember that vertically opposite angles are equal when two lines intersect, regardless of the angle sizes.
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Math Problem Analysis
Mathematical Concepts
Geometry
Vertically Opposite Angles
Intersecting Lines
Formulas
Vertically opposite angles are equal
Theorems
Theorem of Vertically Opposite Angles
Suitable Grade Level
Grades 6-8
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