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Math·Geometry and Trigonometry·Right triangles and trigonometry

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For two acute angles $X$ and $Y$, the measure of angle $Y$ is $24^{\circ }$ and $\frac{\sin X}{\cos Y}=1$. What is the measure, in degrees, of angle $X$?

A

$24$

B

$45$

C

$66$

D

$69$