Can a triangle have two right angles, and why or why not?

Question

No, because there needs to be a third angle.

Yes, because 90 + 90 = 180

Yes, because it would be a right triangle.

No, because a triangle must have an obtuse angle.

Answer 1

No, a triangle cannot have two right angles. The reason is that the sum of the interior angles of any triangle must equal 180 degrees.

If a triangle were to have two right angles, that would mean:

90 degrees (first right angle) + 90 degrees (second right angle) = 180 degrees.

This would leave no room for a third angle, as the sum of the angles in a triangle must be exactly 180 degrees. Therefore, a triangle can only have one right angle at most.

So, the correct response is: No, because there needs to be a third angle.