Question

Can a triangle have both a right and obtuse angle?  Justify your answer mathematically.

Answer 1

180-90 =

Answer 2

in noneuclidean geometries maybe

Answer 3

no, because the interior angles of A triangle equal 180 degrees. it has to have 3 angles to be a triangle... a right angle is 90 degrees, and an obtuse angle is greater than 90 degrees. which means that you would have a triangle with more than 180 degrees, which we know you can't have.

Answer 4

Nope
Let the sum of the angles rather than the right angle be x.
thus 90 + x = 180
x = 90
this shows you that the two angles are acute.