The measure of each of the four angles that are determined by the two diagonals is 90°.
Diagonals of a square
A square is a geometric figure that has four congruent sides, that is, of the same size. In addition, they have four right angles, so they are exactly ninety degrees.
The two diagonals of a square are drawn by dividing a 90° angle into two 45° parts, that is, the two diagonals form within the square four isosceles triangles with two base angles of 45°. If the sum of the interior angles of a triangle is 180°, we have:
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Answer:
The measure of each of the four angles that are determined by the two diagonals is 90°.
Diagonals of a square
A square is a geometric figure that has four congruent sides, that is, of the same size. In addition, they have four right angles, so they are exactly ninety degrees.
The two diagonals of a square are drawn by dividing a 90° angle into two 45° parts, that is, the two diagonals form within the square four isosceles triangles with two base angles of 45°. If the sum of the interior angles of a triangle is 180°, we have:
45° + 45° + x = 180°
x = 90°
Answer:
the measure of each one is 90°