If the measure of arc LNM is 280 degrees, what is the value of y?

Given:

m(ar LNM) = 280°

To find:

The value of y.

Solution:

Complete angle = 360°

m(ar LNM) + m(ar LM) = 360°

280° + m(ar LM) = 360°

Subtract 280° from both sides.

280° + m(ar LM) - 280° = 360° - 280°

m(ar LM) = 80°

Inscribed angle is equal to the half of the intercepted arc.

The value of y is 40 degrees.