Question

$overleftrightarrow{xy}$ and $overleftrightarrow{yz}$ are tangent to $odot w$. what is $mangle y$?
$mangle y =$ $square^circ$
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Explanation:

Step1: Identify tangent-radius right angles

$\angle WXY = 90^\circ$, $\angle WZY = 90^\circ$

Step2: Sum quadrilateral interior angles

Sum of angles in $WXYZ$ is $360^\circ$

Step3: Calculate $\angle Y$

$m\angle Y = 360^\circ - 90^\circ - 90^\circ - 127^\circ = 53^\circ$

Answer:

$53^\circ$