Question

Given the sides of a quadrilateral are of equal length and each of its angles measures the same which is when the minute hand moves from 3 to 6. Find the angle between the diagonals. [3 MARKS]

Answer 1

Steps: 2 Marks
Answer: 1 Mark

The angle covered when the minute hand moves from 3 to 6 is 90 degrees.

Given that:

The sides of the quadrilateral are equal.
So the quadrilateral can either be a rhombus or a Square.
But the angles included between the sides is 90${}^{\circ }$.
$\therefore$ The quadrilateral is a Square.

Now in a square, the diagonals intersect each other at 90${}^{\circ }$.
So angle between the diagonals is 90${}^{\circ }$