Prove experimentally that an exterior angle is formed by producing a side of a triangle equals to the sum of non adjacent interi
1 answer:
It is proved in the answer that an exterior angle of the triangle equals the sum of two opposite interior angles.
<h3>What is the exterior angle property of a triangle?</h3>If a triangle's side is created, the outside angle that results is equal to the product of the two opposite internal angles.
In the figure given below we can see:
∠BCD is the exterior angle of the triangle
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum property of a triangle)
∠BCA + ∠BCD = 180°(Linear pair)
From both equations we can say that:
∠ABC + ∠BAC + ∠BCA = ∠BCA + ∠BCD
∠ABC + ∠BAC = ∠BCD
Hence Proved
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