Vertical Angle Calculator
Calculate vertical angles, adjacent angles, and solve angle problems with our comprehensive angle calculator
Angle Measurements
Angle Calculation Results
Enter angle measurements to see their relationship and properties.
Angle Properties
Detailed angle properties will appear here.
📐 Common Angle Relationships
| Relationship | Definition | Example |
|---|---|---|
| Vertical Angles | Opposite angles formed by intersecting lines, always equal | ∠1 and ∠3, ∠2 and ∠4 |
| Adjacent Angles | Angles sharing a common side and vertex, sum varies | ∠1 and ∠2, ∠3 and ∠4 |
| Complementary | Two angles that sum to 90° | 30° and 60° |
| Supplementary | Two angles that sum to 180° | 45° and 135° |
| Linear Pair | Adjacent angles that are supplementary | ∠1 and ∠2 when they form a line |
| Corresponding | Angles in matching positions with a transversal | ∠1 and ∠5 in parallel lines |
| Alternate Interior | Angles on opposite sides of a transversal inside parallel lines | ∠3 and ∠6 |
📚 Geometry Tips & Tricks
Vertical Angles
Always look for intersecting lines - the angles opposite each other are equal.
Angle Chasing
Combine known angle relationships to find unknown angles in complex diagrams.
Parallel Lines
Remember all corresponding angles are equal, and alternate interior angles are equal.
Angle Sums
Triangles sum to 180°, quadrilaterals to 360°. Use this to find missing angles.
Protractor Practice
Regularly practice measuring and drawing angles to develop intuition.
Visualization
Sketch diagrams when solving angle problems to see relationships clearly.
Note: This calculator provides angle calculations based on standard geometric principles. For complex angle relationships, additional information may be needed.