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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.

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4mo ago
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7y ago

No, it cannot.

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Q: Can an obtuse angle be both complementary and supplementary?
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Related questions

If angles are supplementary then one of the angles is an obtuse angle?

No. Both could be right angles.


Does a pair of supplementary angles include a obtuse angle and an acute angle?

Yes, unless they are both right angles.


What is the complementary angle of 113 degree angle?

Two angles are complementary if they both add up to 90 degrees. This means that a complementary angle would have to be negative 23 degrees if the given angle is 113 (-23+113=90) . However I suspect that you are looking for the supplementary angle. Supplementary angles total 180 degrees. If so, the supplement would be 77 degrees.


Explain Why an angle that is supplementary to an acute angle must be an obtuse angle?

If x is acute, then x < 90 and -x > -90. Adding 180 to both sides, 180-x > 90, i.e. the supplement of x is obtuse.


Can two obtuse angle be supplementary angle?

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


Is complementary and suplementary is an angle?

Yes they are both the measure of angles and complementary angles add up to 90 degrees while supplementary angles add up to 180 degrees


Can two supplementary angles both be obtuse?

No.


What is the complement of a 124 degree angle?

Complementary angles only add up to 90 degrees but if you mean its supplementary angle then it is 56 degrees because they both add up to 180 degrees which are supplementary angles.


Are an obtuse and acute angles supplementary?

If they both add up to 180 degrees then they are supplementary angles.


Can an angle be a supplement and a complement?

To be both a complement and a supplement at the same time there can be no angle. However: The angle 45° is self-complementary since 45° + 45° = 90° The angle 90° is self-supplementary since 90° + 90° = 180°


Can a triangle be both acute and obtuse?

No, because if there is on obtuse angle the triangle will always be obtuse.


What angle is supplementary to a right angle?

Definition of a supplementary angle: an angle that is supplementary to another angle is an angle in which the sum of both angles forms a straight line or 180 degrees.Definition of a right angle: an angle whose measure is 90 degrees.Using these terms, let's put them into an equation.Right angle + Supplementary angle = 180.90 + Supplementary angle = 180.Subtract 90 from both sides.Supplementary angle = 180 - 90Supplementary angle = 90 degrees.Alternatively, you can think that two right angles are equivalent to a straight line and that all right angles are congruent and therefore; their supplementary angles are also congruent.