Can two obtuse angle be supplementary angle?

Answer 1

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

Answer 2

No

Answer 3

No.