Question

Two angles measire (55°-3a)&(115°-2a) if each is supplement of other , then find value of a

Answer 1

$each \: are \: supplement \: to \: each \: other \: so \\ (55 - 3a) + (115 - 2a) = 180 \\ 170 - 5a = 180 \\ - 5a = 10 \\ a = - 2$
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