Question

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Answer 1

$< a + < b + < c + < d + < e + < f = 360 \\ \\ let = < 1 + < 2 + < 3 + < 4 + < 5 + < 6 = 360 \\ \\ \\ < 1 + < 2 = < 4 = \\ \\ (1) \\ \\ < 1 + < 3 = < 6 = (2) \\ \\ < 2 + < 3 = < 5 = (3 )\\ \\ adding....(1) + (2) + (3) \\ \\ 2 < 1 + 2 < 2 + 2 < 3 = < 4 + < 5 + < 6 \\ 2( < 1 + < 2 + < 3) = < 4 + < 5 + < 6 \\ 2 \times 180 = < 4 + < 5 + < 6 \\ 360 = < 4 + < 5 + <6 \\ \\ \\ \\ sum \: of \: the \: exterior \: angle \: of \: triangle \: by \: extending \: each \: side \: = 360$

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