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2015-10-15T20:03:55+05:30

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No, because we know that one acute angle measures less than 90°.
If possible let one acute angle be x and the other acute angle be y.
x<90°
y<90°
x+y<90+90
x+y<180
And a supplementary angle measures 180°.
So, two acute angles cannot measure to 180°. 
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2015-10-15T20:04:56+05:30
the answer is no because
89° is the biggest acute angle
89° + 89° =178°
so one acute angle and a obtuse angle can only make supplement

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Not necessary that 89 is the biggest acute angle, it can also be 89.5 or 89.999999...........
firstly read the question carefully