Answered

Assignment: Finding Unknown Measurements

An engineer is tiling a new building. A square tile is cut along one of its diagonals to form two triangles with two congruent angles.

What are the measurements of the interior angles of the triangles? Explain how you calculated them.



Answer :

GinnyAnswer

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:

  1. Two angles of 45 degrees each
  2. 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