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
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.
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.
No, an obtuse triangles has one obtuse angle and two acute angles. If a triangle has an obtuse angle, it is considered obtuse and cannot be acute.
No. In fact, they never are. A right angle by definition is 90 degrees. An obtuse angle is any degree greater than 90. In order for two angles to be supplementary, they must equal 180 degrees. Because an obtuse angle is always greater than 90 degrees, and a right angle is always 90 degrees, an obtuse angle and a right angle can never be supplementary.
An obtuse angle
no
yes
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.
Every pair of supplementary angles includes one obtuse angle?
That is correct.
No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.
Supplementary is what makes 180 degrees. 180-76=104
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.
No.
Yes, unless they are both right angles.