The sides and of a quadrilateral are respectively.
The angle between diagonals and is
Explanation for the correct option:
Steps 1: Given data
is a quadrilateral
Equation of is
Equation of is
Equation of is
Equation of is
Step 2: Find coordinates of the vertices of the quadrilateral
From and
From and
From and
From and
Step 3: Find the slope of the diagonals
Slope of ,
Slope of ,
Multiplying the slopes,
and are perpendicular.
So, the angle between the diagonals is .
Hence, option (C) is correct.