In this math video we will determine how many unique triangles can be formed. We will be given three angle measures and asked how many unique triangles can be formed. We will review and understand that the three interior angles of any triangle must have a sum of 180 degrees. We will add the three angles together and learn they have a sum more than 180 degrees. Therefore the three angles cannot form a triangle and the answer is none. An exemplar solution is modeled and explained.

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00:00 Introduction
00:10 The Question
00:38 Understanding the Question
00:49 Triangle Angle Sum Theorem
01:10 The Given Angles - Triangle?
01:28 The Solution

Geometry
Draw, construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

7.G.A.2 Determine whether the given conditions of a triangle represent a unique triangle, more than one triangle, or no triangle.