Math Problem Statement

Find the measure of the missing angle. Given that one angle is 131° and two lines intersect at a point.

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:

  1. What are vertically opposite angles, and why are they always equal?
  2. Can two angles be vertically opposite and not equal? Why or why not?
  3. How do you determine the measure of angles that form a straight line?
  4. What is the relationship between supplementary and vertically opposite angles?
  5. 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