Concept:Find net rotation to determine final facing direction.Explanation:Start facing east. Clockwise turn of 100∘ is followed by anticlockwise turn of 145∘. Net rotation = 100∘ clockwise +145∘ anticlockwise =45∘ anticlockwise (since 145−100=45). Anticlockwise from east goes towards north. 45∘ anticlockwise from east is exactly north-east.Answer:North-east (Option B).