Sum it Up!
Can you create a triangle with two angles that measure 30 and 50 degrees?
How about 90 and 95 degrees?
How about 10 and 120 degrees?
How about 105 and 85 degrees?
Based on this investigation, a triangle must have what angle sum?
Devise and explain several different ways to illustrate the sum of
the angles in a triangle.

Extensions 
Extension1: Given the following angle in a triangle, what different types of triangles (acute, right, obtuse, scalene, isosceles, equilateral) can you form?
 Exactly one right angle
 At least one acute angle
 Exactly one obtuse angle
Extension2: How many nonoverlapping triangles will make a quadrilateral? What is the sum of the angles in a quadrilateral?
How many nonoverlapping triangles will make a pentagon? What is the sum of the angles in a pentagon?
Explain the relationship between the number of sides in a convex polygon and the sum of its angles.
Submit your idea for an investigation to InterMath.
