The diagonals of a rhombus ABCD intersect at E. Given that the measurement of angle BAC is 53, DE is 8, and EC is 6. Find AC
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In any rhombus, diagonals bisect its angles.
See the lesson
Diagonals of a rhombus bisect its angles
in this site.
Therefore, m∠DAC = m∠BAC = 53�.
The rest of the condition ("DE=8, and EC=6") is irrelevant, unnecessary and excessive. It is not used in the solution.
Nevertheless, I checked if that unnecessary part is consistent with the core part of the condition (m∠BAC = 53�).
From DE=8, and EC=6 I got m∠BAC = 53.16 degrees
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