How many obtuse angles could you possibly have adjacent to one another?

In a geometric context, an **obtuse angle** is an angle greater than 90° but less than 180°. If we consider the concept of adjacency—meaning the angles share a common side—here’s what we can determine:

1. **Two Adjacent Obtuse Angles**: It is impossible to have two obtuse angles adjacent to each other in a standard polygon or on a flat surface. This is because the sum of two obtuse angles (each greater than 90°) would exceed 180°, which would violate the rule that the angles of a triangle or on a straight line must add up to 180°.

2. **Multiple Adjacent Obtuse Angles**: Since two adjacent obtuse angles cannot exist without exceeding 180°, it follows that having more than two obtuse angles adjacent to each other is also impossible.

### Conclusion:
You **cannot have any obtuse angles adjacent to one another** on a flat plane.

Would you like further details on adjacent angles or obtuse angles?

Here are some related questions:
1. What are examples of adjacent angles in different polygons?
2. How do you calculate the sum of interior angles in a polygon?
3. What is the difference between adjacent and supplementary angles?
4. Can obtuse angles exist in a right-angled triangle?
5. What are the properties of angles formed by parallel lines?

**Tip:** Remember that the sum of angles around a point is always 360°, and for angles on a straight line, it's always 180°.

Explore the concept of adjacent obtuse angles in geometry. Learn why it's impossible to have multiple obtuse angles adjacent to each other on a flat surface, backed by the angle sum property of polygons. Suitable for students in Grades 7-9.

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