Q: What type of angle has one angle greater than 90 degrees and two sides that are congruent?

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No triangle can meet those requirements.

Only if the congruent angle is the angle between the two congruent sides (SAS postulate).

That is called a "Right Triangle"

The length of the congruent sides is completely irrelevant.If the vertex angle is 48 degrees, then that leaves (180 - 48) = 132 degreesfor the sum of the two base angles. Since they're equal, each is 66 degrees,and you can make the congruent sides any length you want.

A cube is a rectangular prism with all its sides congruent and angle between any two adjacent sides = 90 degrees.Rectangular prism does not necessarily have all its sides congruent and angle between any two adjacent sides = 90 degrees.

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No triangle can meet those requirements.

yes

A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.

a scalene triangle

Only if the congruent angle is the angle between the two congruent sides (SAS postulate).

Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.

the triangle is called right handed triangle

That is called a "Right Triangle"

The length of the congruent sides is completely irrelevant.If the vertex angle is 48 degrees, then that leaves (180 - 48) = 132 degreesfor the sum of the two base angles. Since they're equal, each is 66 degrees,and you can make the congruent sides any length you want.

All triangles have 3 sides and 3 interior angles that add up to 180 degrees. Equilateral triangles have 3 congruent sides. Isosceles triangles have 2 congruent sides. A right angle triangle can have 2 congruent sides if its interior angles are 90, 45, 45 degrees. A scalene or an obtuse triangle has no congruent sides.

A cube is a rectangular prism with all its sides congruent and angle between any two adjacent sides = 90 degrees.Rectangular prism does not necessarily have all its sides congruent and angle between any two adjacent sides = 90 degrees.

Yes providing the sum of its smaller sides is greater than its longest side which in this case will be the hypotenuse of a right angle triangle.