Question

ABCD is a square. What is the measure of angle BAC? A. 90° B. 45° C. 15° D. 135°

Answer 1

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

$\angle DAB=90^{\circ}$

AC is a diagonal of ABCD.

$\angle DAC=\angle BAC$

We can say that

$\angle DAB=\angle DAC+\angle BAC$

$\angle DAB=\angle BAC+\angle BAC$

$\angle DAB=2\angle BAC$

$90^{\circ}=2\angle BAC$

Divide both sides by 90.

$\frac{90^{\circ}}{2}=\angle BAC$

$35^{\circ}=\angle BAC$

The measure of angle BAC is 45°. Therefore the correct option is B.

Answer 2

a corner in a square is 90%

the angle BAC is half that

90/2 = 45 degrees