Yes. The other two angles will be 45 degrees.
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No. I think it can. An isosceles triangle by definition has two equal sides. It is possible to draw a triangle with a right angle and two equal sides. The word isosceles is actually a Greek one standing for: having (two) equal sides. I thought that, in English, isosceles stands for "equilateral". If not, then yes it can be a triangle with two equal sides adjacent to the right angle. (hypotenuse excluded, anyway)
It is an isosceles triangle with a right angle between the sides of equal length. Also the equal angles are 45o. * * * * * Take a square, draw one of its diagonals. The shape that is on one side of that diagonal is a right isosceles triangle.
You may be asking whether it's possible to have an isosceles triangle that's also a right triangle. If that's your question, then the answer is yes. The 'legs' of the right triangle are equal, each acute angle is 45 degrees, and the length of the hypotenuse is (length of each leg) x sqrt(2). If that's not what you're asking, then your question is incomprehensible.
No
No it is not possible to draw 1 triangle with 2 right angles because the angles in a triangle should equal to 180 degrees