Answer:
The correct option is B.
Step-by-step explanation:
Given information: ABCD is a square.
According to the property of square,
1. The measure of all interior angles of the square is 90°.
2. Diagonals are angle bisector.
In the given figure ABCD is square, so
[tex]\angle DAB=90^{\circ}[/tex]
AC is a diagonal of ABCD.
[tex]\angle DAC=\angle BAC[/tex]
We can say that
[tex]\angle DAB=\angle DAC+\angle BAC[/tex]
[tex]\angle DAB=\angle BAC+\angle BAC[/tex]
[tex]\angle DAB=2\angle BAC[/tex]
[tex]90^{\circ}=2\angle BAC[/tex]
Divide both sides by 90.
[tex]\frac{90^{\circ}}{2}=\angle BAC[/tex]
[tex]35^{\circ}=\angle BAC[/tex]
The measure of angle BAC is 45°. Therefore the correct option is B.
