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Earn +20 ptsQ: Do supplementary angles have to be obtuse?
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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.
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