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Question

Consider a square ABCD that has a diagonal BD. What will be the measure of each angle of the ABD formed?

A
ABD=40°
BDA=40°
DAB=100°
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B
ABD=55°
BDA=35°
DAB=90°
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C
ABD=40°
BDA=50°
DAB=90°
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D
ABD=45°
BDA=45°
DAB=90°
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Solution

The correct option is D ABD=45°
BDA=45°
DAB=90°
We know that each angle of a square is 90°.
Also the diagonal of a square bisects the angles at its vertices.

ABD=DBC =CDB=BDA=45°

Hence, the measure of the angles of the triangle ABD is
ABD=45°
BDA=45°
DAB=90°

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