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<d + <a + <e = 180° (linear pair) ---- 1
<d = <b (Alternate interior angles of parallel lines) ---- 2
<e = <c (Alternate interior angles of parallel Iines) ---- 3
Let's replace <d with <b in Equation no. 1 as per the second equation.
Let's also replace <e with <c in Equation no. 1 as per the third equation.
→ <a + <b + <c = 180°
Hence proved.
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