In this image, we have four triangles, each labeled with angle measurements. We need to determine whether each triangle is acute, obtuse, or right based on these angles.

Analysis:

1. Triangle A has angles 120°, 30°, and 30°:

   • Since one of the angles is 120°, which is greater than 90°, this triangle is obtuse.

2. Triangle B has angles 60°, 60°, and 60°:

   • All angles are 60°, which are less than 90°, so this triangle is acute.

3. Triangle C has angles 45°, 45°, and 90°:

   • It has a 90° angle, making it a right triangle.

4. Triangle D has angles 50°, 50°, and 80°:

   • All angles are less than 90°, so this triangle is acute.

Answer:

• Triangle A: Obtuse
• Triangle B: Acute
• Triangle C: Right
• Triangle D: Acute

Would you like further details or have any questions?

Related Questions:

1. How can you determine if a triangle is acute, obtuse, or right by just looking at the angles?
2. What are some other examples of obtuse triangles in geometry?
3. Why can't a triangle have more than one obtuse or right angle?
4. How does knowing the type of triangle help in solving geometric problems?
5. What are the properties of an equilateral triangle?

Tip:

When identifying triangle types, remember that a triangle is acute if all angles are less than 90°, obtuse if one angle is greater than 90°, and right if it has one 90° angle.