Masakadza slammed four sixes and six fours in his 35-ball stay in the wicket and captain Brendan Taylor (38) offered good support as the home team reached 154-6 off 20 overs in clear, warm conditions.
Bangladesh could only score 143-5 in reply and new coach Richard Pybus started with a loss in a country which has not proved a happy hunting ground for the Tigers as they lost a Test and a one-day international series there last year.
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