The measure of the angle Y from the given diagram is 102.5 degrees
Circle theorem
In order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".
Given the following
angle at the arc= 205 degrees
required
angle at the vertex Y
According to the theorem;
<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees
Hence the measure of the angle Y from the given diagram is 102.5 degrees
Learn more on circle theorem here: https://brainly.com/question/6240879
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