Answer:
To find the quadrilateral by its most specific name.
We know that,
From the properties of square, The interior angle of a square at each vertex is 90°.The diagonals of a square bisect each other at 90°.
The quadrilateral is a Square.
The correct option is : Square all four angles are 90°
and the diagonals are perpendicular.
To find x and y.
From the figure we get,
The diagonals divide the square into two congruent triangles. It divides the vertex into two equal angle, that is 45 degrees.
[tex]5x=45[/tex][tex]x=9[/tex]
Since the diagonals of a square bisect each other at 90°.
we get,
[tex]2y=10[/tex][tex]y=5[/tex]
Answer is: x=9 and y=5
