Can a triangle have two right angles, and why or why not?(1 point)
Responses
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.
No, because a triangle can have at most one right angle. The sum of the angles in a triangle is always 180 degrees. If a triangle has two right angles, then the third angle would have to be zero degrees, which is not possible in a triangle. Therefore, a triangle cannot have two right angles.
No, a triangle cannot have two right angles. By definition, a right angle measures 90 degrees. In a triangle, the three angles must always add up to 180 degrees. If a triangle had two right angles, that would make the sum of the angles 180 + 90 = 270 degrees, which is not possible for a triangle.
The correct answer is "No, because a triangle cannot have two right angles."
A triangle is a polygon with three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees. In a right triangle, one of the angles measures 90 degrees. If a triangle were to have two right angles, the sum of the angles would exceed 180 degrees, which is not possible. Therefore, a triangle cannot have two right angles.
To arrive at this conclusion, you can use the property that the sum of the interior angles of a triangle is 180 degrees. If you encounter a triangle where the sum of the angles exceeds 180 degrees or if you find that two of the angles measure 90 degrees, you can confidently conclude that it is not a valid triangle.