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: 30 degrees, 90 degrees, and 45 degrees
Triangle Angle Sum Theorem Calculation: __________
Triangle Angle Sum Theorem Calculation:
The Triangle Angle Sum Theorem states that the sum of the angles in any triangle is always equal to 180 degrees.
In this case, if we add up the three angle measures given (30 + 90 + 45), we get 165 degrees. Since this sum is less than 180 degrees, it is not possible to create a triangle with these angle measures.