Geometric Proof. GCSE Higher. Prove that the sum of the angles in a triangle is 180°. We can use previous knowledge of the properties of parallel lines. C. EXTEND the line AB to a point G. E. DRAW line BE parallel to AC. A. B. G. C. E. A. B. G.
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We can use previous
knowledge of the properties of
EXTEND the line AB to a point G
DRAW line BE parallel to AC
GProve that the sum of the angles in a triangle is 180°
Angles on a straight line
<CBA + <CBE + <EBG = 180º
<ACB = <CBE
SO <CBA + <ACB + <CAB = 180º
<CAB = <EBG
The Angle Sum of a triangle is 180º