state and prove angle sum property of the 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. ... Thus, the sum of the interior angles of a triangle is 180°.
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Where is the triangle......
Explanation:
Angle sum property of triangle states that, sum of interior angles of a triangle is 180°.
prove
Start with the following triangle with arbitrary values for the angles:
Angle sum theorem
Since angle a, angle b, and angle c make a straight line,
angle a + angle b + angle c = 180 degrees
Since alternate interior angles are equal, angle a = angle x and angle b = angle y
Therefore, angle x + angle y + angle c = 180 degrees ...
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