In a square ABCD, the diagonal AC is drawn. Then ∠BAC = __________degrees.Fill in the blank.
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it will be 45 degrees as diagonal bisect at half of the angle and each angle of a square is 90 degree so half of 90 degree is 45 degree
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Answer:
45°
Step-by-step explanation:
We know that,
if ABCD is a square, then all the four angles ∠A, ∠B, ∠C, and ∠D are right-angled i.e. 90°.
Again, the property of a square is that all the diagonals will bisect the corresponding angles.
Hence diagonal AC will bisect ∠A and ∠C both.
So, ∠BAC = 1/2(∠A) =1/2(90°) =45° {Already stated that ∠A= 90°}
Therefore, ∠BAC= 45 degrees. (Answer)
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