- A right angle contains 90º
- The sum of the three angles of a triangle is always 180º

As two right angles would sum up to equal 180º, there would be no value left for the third angle, so

**no**, a triangle cannot have two right angles.

Actually this is possible in non euliclidian geometry, if you thinkg of longitude and latitude lines, in non euliclidian geometry they have to meet somewhere and thus two right angles. It doesnt make a lot of sense because we learn geometry from the elements, written by euliclid, but the other kind of geometry we never learn but it is possible to have two right angles

For example, imagine you are sitting on the pole of the earth and you wave your hand at a friend on the equator. Now you turn around by 90 degrees and wave at another friend at some other location on equator. The lines joining the three friends forms a triangle whose total int angle isn't 180.!

In non-Euclidean geometry it can.