Question

what is the measure of $angle y$?$\bigcirc$ $43^circLXB0\bigcirc$ $86^circ$$\bigcirc$ $172^circ$the arc $xz$ of the circle is $86^circ$, and point $y$ is on the circle, connected to $x$ and $z$ with line segments.

Explanation:

Step1: Recall inscribed angle theorem

An inscribed angle is half its intercepted arc.

Step2: Calculate ∠Y

$\angle Y = \frac{1}{2} \times 86^\circ$

Answer:

43°