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Final answer:
When cutting a square tile along its diagonal to form two triangles with two congruent angles, the measurements of the interior angles are 45 degrees, 45 degrees, and 90 degrees.
Explanation:
The measurements of the interior angles of the triangles formed by cutting a square tile along its diagonal are:
- Two angles of 45 degrees each
- One angle of 90 degrees
To calculate them, we know that the diagonal of a square divides it into two 45-45-90 triangles, where the angles are congruent. The sum of the interior angles in a triangle is always 180 degrees, hence, one angle is 90 degrees. With two congruent angles in a triangle, each angle must be 45 degrees.
Learn more about Triangle Interior Angles here:
https://brainly.com/question/1325276
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