prove that the sum of all angles of a triangle is two right angles
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Answer:
From External Angle of Triangle equals Sum of other Internal Angles: ∠ACD=∠ABC+∠BAC. ... But from Two Angles on Straight Line make Two Right Angles, ∠ACB+∠ACD equals two right angles. So by Euclid's First Common Notion, ∠ABC+∠BAC+∠ACB equals two right angles
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Step-by-step explanation:
As we know that the sum of all the three angles of a triangle is 180°and a right angle is 90° .
Number of right angles in a triangle = 180° / 90° =2
Hence proved.
Say X= smaller acute angle in right triangle
4X= larger acute angle
90° = right angle
x+4x+90°=180
5x=90°
x=18°
4x=72°
Acute angles are 18°and 72°
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