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: right triangle
Three angle measures: 80 degrees, 90 degrees, and 75 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.
Calculation:
80 degrees + 90 degrees + 75 degrees = 245 degrees
Since the sum of the three angles is 245 degrees, it is not possible to create a right triangle with these angle measures. Moreover, it violates the Triangle Angle Sum Theorem as the sum is not equal to 180 degrees.