state and prove angle sum property of a triangle
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Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Proof: Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line \overleftrightarrow {PQ} parallel to the side BC of the given triangle.
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The angle sum property of a triangle states, sum of all the interior angles of triangle is 180°.
Therefore, Angle a + Angle b + Angle c = 180°.
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