state and prove angle sum property theorem.
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: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 ...
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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Answered by
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State and prove angle sum property of triangle.
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