Prove that sum of the three angles of a triangle is two right angles or 180°
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Let △ABC be a triangle.
Let BC be extended to a point D.
From External Angle of Triangle equals Sum of other Internal Angles:
∠ACD=∠ABC+∠BAC
Bby by Euclid's Second Common Notion:
∠ACB+∠ACD=∠ABC+∠BAC+∠ACB
But from Two Angles on Straight Line make Two Right Angles, ∠ACB+∠ACD equals two right angles.
So by Euclid's First Common
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in this figure ,Well this question is little confusing after"two right angles or 180 degree ."
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