m∠MNP = 1/2 (x – y)
The measure of anle MNP ism ∠ MNP = (x - y)/2
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The angle MNP, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.
Then, you can use the theorem:the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:m ∠ MNP = (x - y)/2
far arc = x
near arc = y
angle mnp = (far arc - near arc) / 2
angle mnp = (x - y) / 2
from the given choices, it is assumed that there is a denominator of 2 that divides the whole expression.