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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.
If angles are supplementary then one of the angles is an obtuse angle?
No. Both could be right angles.
Is it possible for supplementary angles to make 2 obtuse angles?
Not sure exactly what you mean.Supplementary angles are such that they sum to 180oObtuse angles are greater than 90o and less than 180o→ the sum of two obtuse angles is greater than 90o + 90o, ie is greater than 180oSo two obtuse angles can never be supplementary.For two angles to be supplementary they must be either:both right angles (90o each); orone acute (less than 90o) and one obtuse (greater than 90o and less than 180o).
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.
