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Q: Can both angles in a pair of complementary angles can be obtuse true or false?
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Can both angles in a pair of complementary angles be obtuse?

No,neither one can, since by definition a pair of complementary angles add to 90 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.


Why is this conjecture false 'If two angles are supplementary then one of the angles must be obtuse'?

they could both be right angles


Can a right triangle be an obtuse triangle?

No, in a right triangle, the other two angles are complementary so they are both less than 90 degrees.


Are congruent angles complementary?

Not necessarily. The only time complementary angles are congruent is when they are both 45o. Complementary means the angles add up to be 90o.


If two angles are obtuse then they must be congruent.?

Not always because 98 degrees and 140 degrees are both obtuse angles that are not congruent but angles 150 degrees and 150 degrees are both obtuse angles that are congruent.


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.


Can an angle be both obtuse and isosceles true or false?

False


Does a trapezium have acute angles or obtuse?

It can have a mixture of both acute and obtuse angles providing that the 4 interior angles add up to 360 degrees.


Does one of the angles in a linear pair of angles have to be obtuse?

True , but remember there cannot be two obtuse. Must be one acute & one obtuse. * * * * * NOT always true. Both may be right angles.


Can a pair of angles be complementary and supplementary?

Complementary means that the sum of the angles is 90 degrees.Supplementary means that the sum of the angles is 180 degrees. It can't be both.