Question

what is the measure of circumscribed $angle x$?○ $45^circ$○ $50^circ$○ $90^circ$○ $95^circ$

Explanation:

Step1: Identify quadrilateral angles

Quadrilateral VYXW has 4 angles summing to $360^\circ$. $\angle VYW = 90^\circ$, $\angle VWX = 90^\circ$, $\angle YVW = 90^\circ$.

Step2: Calculate $\angle X$

$\angle X = 360^\circ - 90^\circ - 90^\circ - 90^\circ$

Answer:

90° (Option C: $90^\circ$)