Question

Find the value of y.
1080
x
z
y = [?]°
y
У
W
40°
Enter

Answer 1

Answer:

y = 54°

Step-by-step explanation:

An inscribed angle is the angle formed when two chords meet at one point on the circumference of a circle, and the intercepted arc is the arc that is between the endpoints of those chords.

According to the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of the intercepted arc.

In this case, angle y is the inscribed angle, and the intercepted arc measures 108°.  Therefore, applying the inscribed angle theorem:

$y = \dfrac{108^{\circ}}{2}\\\\\\y=54^{\circ}$

So, the value of y is 54°.