What type of triangle has two congruent sides and two angles measuring 45 degrees?

The angles in a triangle add up to 180°. If two angles are 45° each, the third angle is 180° − 45° − 45° = 90°, so the triangle is a right triangle. The two equal angles also mean the opposite sides are congruent, making it isosceles. Therefore, it is a right isosceles triangle.

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