Answer
The given statement: “A triangle cannot have both a right angle and an obtuse angle” is true.
Work Step by Step
The sum of all angles of the triangle is $180{}^\circ $. So, if an angle is $90{}^\circ $that is right angle then the other two angles necessarily need to be acute angles that are less than $90{}^\circ $to make a sum total of $180{}^\circ $. Thus, in a triangle, if one angle is a right angle then the other two angles acute angles that are less than $90.{}^\circ $
Hence, the given statement is true.
