Question

A diagonal of a rectangle is inclined to one side of the rectangle at 25 degrees.find the acute angle between the diagonals

Answer 1

Let ABCD be our rectangle and O be point of intersection of diagonals. Given: Angle BDC=25°, therefore, angle BDA=90°-25°=65°

And as AO=DO, so angle CAD=angle BDA=65°, so acute angle between diagonals = angle AOD=180-65-65=50°