Question
Write $'T'$ for true and $'F'$ for false.
A right triangle cannot have an obtuse angle.

Answer

True.
This is because the sum of three angles of a triangle must be $180°$.
So, if one of the angles is $90^\circ $, the sum of the other two angles must also be $90^\circ $.
So, none of the angles can be greater than $90^\circ $.

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