Can you draw a triangle that contains a right angle and an obtuse angle?

It is not possible to draw a triangle that contains both a right angle and an obtuse angle. Here's why:

- A **right angle** is exactly 90 degrees.
- An **obtuse angle** is greater than 90 degrees but less than 180 degrees.
  
In any triangle, the sum of the internal angles must be exactly 180 degrees. If one angle is a right angle (90 degrees) and another is an obtuse angle (more than 90 degrees), the total would already exceed 180 degrees, which contradicts the basic rule for triangles.

Would you like to explore more details about angles or triangles?

Here are five related questions:
1. What is the sum of all interior angles in any polygon?
2. How can you prove that a triangle's angles always sum to 180 degrees?
3. Can a triangle have more than one right angle?
4. What are the properties of an isosceles right triangle?
5. How do you classify triangles based on their angles?

**Tip:** In any triangle, no angle can be 180 degrees or greater, as that would violate the triangle inequality rule.

Discover why it is impossible for a triangle to have both a right angle (90 degrees) and an obtuse angle (greater than 90 degrees). This explanation uses key geometry concepts such as the sum of a triangle's interior angles and the Triangle Angle Sum Theorem. Suitable for students in Grades 6-8.

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