It is not possable for two obtuse angles to be supplementary. This is because an obtuse angle is an angle greater than 90 degrees but less than 180 degrees while a supplementary angle is an angle which, when added to an existing angle will sum to 180 degrees. This can be explained mathematically,
If A + B ≠ 180 where A and B are both obtuse.
In this equation, there are constraints on both variables in this equation. These are,
a). A + B ≠ 180
b). 180 > A > 90
c). 180 > B > 90
If we look at (90 + ∞-1) + (90 + ∞-1) you do not get 180, which would mean that two obtuse numbers could be supplementary, but you get 180 + 2∞-1 which by definition is An angle larger than two right angles but less than a full circle (between 180° and 360°" - see http://en.wikipedia.org/wiki/Reflex_angle#Types_of_angles
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An obtuse angle
A supplementary angle adds up to 180 degrees. It also needs two angles. The obtuse angle can be anywhere from 179 degrees to 91 degrees, aslong as the other angle together adds up to 180 degrees.
If the obtuse angle on a straight line is 148 degrees, then the acute angle would be the supplementary angle to the obtuse angle on the same line. The sum of the measures of two supplementary angles is always 180 degrees, so the acute angle would be 180 - 148 = 32 degrees.
An obtuse angle is any angle that is between 91 degrees and 179 degrees. It can be added to a supplementary acute angle to form a straight line.
NoYes, it has two acute and two obtuse angles.