An exterior angle of a triangle is equal to the sum of the opposite interior angles. Learn the concepts of Class 7 Maths The Triangle and Its Properties with Videos and Stories. This is called the exterior angle property of a triangle. One of the basic theorems explaining the properties of a triangle is the exterior angle theorem. Prove that it is equal to the sum of the interior angles on the other two arms. Before we begin the discussion, let us have look at what is a triangle. ∴ Exterior angle is equal to sum of interior opposite angles Find exterior angle ∠ 1 Here, ∠1 = ∠B + ∠C ( Exterior angle property) ∠1 = 45° + 60° ∠1 = 105° Find exterior angle In ∆ABC, ∠BCD = ∠CAB + ∠ABC (Exterior angle property) ∠BCD = 85° + 25° ∠BCD = 110° Find exterior angle In ∆PQR, Properties. Any exterior angle of the triangle is equal to the sum of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the opposite interior angles. In this article, we will learn about: Triangle exterior angle theorem, exterior angles of a triangle, and, how to find the unknown exterior angle of a triangle. Exterior Angle Theorem. ; If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles. The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. For a triangle: The exterior angle d equals the angles a plus b.; The exterior angle d is greater than angle a, or angle b. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.. Similarly, this property holds true for exterior angles as well. Property 2: The sum of an interior angle and its adjacent exterior angle is 180°. Example: . Let us discuss this theorem in detail. If the figure is regular all the exterior angles will be equal. For more on this see Triangle external angle theorem. Triangles can be classified in 2 major ways: Classification according to internal angles Exterior Angle Property - Displaying top 8 worksheets found for this concept.. Same goes for exterior angles. Exterior Angle Theorem. The exterior angle theorem is amongst the most basic theorems of triangles in geometry. Properties. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles. Property 3: Exterior Angle Theorem An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Also, each interior angle of a triangle is more than zero degrees but less than 180 degrees. Define an exterior angle of a triangle and identify all the exterior angles. 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