Decide if you want to make an acute, obtuse, or right triangle. Select three angle measures. How is the Triangle Angle Sum Theorem important for creating triangles? How many triangles can you make with three angle measures?
Triangle Type: Acute
Three angle measures: 55 degrees, 90 degrees, and 45 degrees
Triangle Angle Sum Theorem Calculation: __________
Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180 degrees.
Applying this theorem, if we add the three given angle measures:
55 degrees + 90 degrees + 45 degrees = 190 degrees
Since the sum of the three angles is greater than 180 degrees, it is not possible to create a triangle with these angle measures.