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No, supplementary angles do not have to be obtuse. By definition, supplementary angles are two angles whose measures add up to 180 degrees. This means one or both angles can be acute (less than 90 degrees) or one can be obtuse (greater than 90 degrees), as long as their sum equals 180 degrees.
What else can I help you with?
Can 2 obtuse angles be supplementary?
No.
If angles are supplementary then one of the angles is an obtuse angle?
No. Both could be right angles.
If angles are supplementary then one of the angles is an obtuse angle.?
Yes, but not always because 2 right angles would also be supplementary adding to 180 degrees.
Can an obtuse angle be both complementary and supplementary?
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.
Does a pair of supplementary angles include a obtuse angle and an acute angle?
Yes, unless they are both right angles.
Can 2 obtuse angles be supplementary?
No.
Every pair of supplementary angles includes one obtuse angle?
Every pair of supplementary angles includes one obtuse angle?
Are an obtuse and acute angles supplementary?
If they both add up to 180 degrees then they are supplementary angles.
Can two supplementary angles both be obtuse?
No.
If angles are supplementary then one of the angles is an obtuse angle?
No. Both could be right angles.
What if two angles are equal and supplementary are the angles obtuse acute or right angles?
They both will be right angles that add up to supplementary angles 180 degrees
Is it possible to draw a pair of supplementary angles so that neither of the angles is obtuse?
Yes if they are right angles
If angles are supplementary then one of the angles is an obtuse angle.?
Yes, but not always because 2 right angles would also be supplementary adding to 180 degrees.
Why is this conjecture false 'If two angles are supplementary then one of the angles must be obtuse'?
they could both be right angles
Are two obtuse angles are supplementry?
No because supplementary angles add up to 180 degrees and two obtuse angles would be greater than 180 degrees.
Can an obtuse angle be both complementary and supplementary?
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.
What kind of angles is formed by the rhombus?
One pair of equal acute angles and a pair of equal supplementary (obtuse) angles.
