6 a The diagonals of a rectangle intersect at 76° Find the angle that a diagonal makes with a longer side of the rectangle. b The diagonals of a rectangle intersect at xº. Find the angle that a diagonal makes with a longer side of the rectangle.
Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
