Question

vw is tangent to ⊙u. what is m∠x? m∠x = °

Explanation:

Step1: Recall tangent - radius property

A tangent to a circle is perpendicular to the radius at the point of tangency. So, $\angle UVW = 90^{\circ}$.

Step2: Use angle - sum property of a triangle

In $\triangle VWX$, the sum of interior angles of a triangle is $180^{\circ}$. We know one angle $\angle W=37^{\circ}$ and $\angle V = 90^{\circ}$. Let $m\angle X=x$. Then $x + 90^{\circ}+37^{\circ}=180^{\circ}$.

Step3: Solve for $m\angle X$

$x=180^{\circ}-(90^{\circ} + 37^{\circ})=53^{\circ}$.

Answer:

$53$