Q:

Another 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.

Accepted Solution

A:
Answer:The measurements of the interior angles of the triangles are 45°-90°-45°Step-by-step explanation:we know thatA square is a quadrilateral with 4 equal sides and 4 interior angles of 90 degreesThe diagonal of a square bisect the square into two congruent isosceles right trianglesThe two congruent legs of each isosceles right triangle is equal to the length side of the squareThe measure of the base's angles of each isosceles right triangle is equal to 45 degrees, because the diagonal bisect the right angle of the squarethereforeThe measurements of the interior angles of the triangles are 45°-90°-45°