Part 1: Your art teacher wants you to create a triangle shaped collage. You need to decide if you want to make an acute, obtuse, or right triangle. First, state which type of triangle you are going to make - acute, obtuse, or right? Then state three angle measures you will use to make your triangle. Remember to use the Triangle Angle Sum Theorem! (2 points)

Question

Part 2: Explain in your own words how the Triangle Angle Sum Theorem is important for creating triangles?(2 points) a small explamation

Answer 1

Part 1: I have decided to make an acute triangle. For this triangle, I will use the following three angle measures: 60 degrees, 50 degrees, and 70 degrees. These angles add up to 180 degrees, satisfying the Triangle Angle Sum Theorem.

Part 2: The Triangle Angle Sum Theorem is important because it states that the sum of the angles in any triangle must equal 180 degrees. This theorem helps ensure that the angles I choose for my triangle will work together to create a valid shape. Without this understanding, I could end up with angles that don't join correctly, resulting in a figure that doesn't actually form a triangle. By applying this theorem, I can confidently select angles that maintain the properties of triangles.