In the given diagram, the value of y is 53°
Circle Geometry
From the question, we are to determine the value of y
The angle subtended by the arc is 74°. This is the angle the arc subtends at the center of the circle.
Then,
74° + y + y = 180° (Sum of angles in a triangle)
74° + 2y = 180°
2y = 180° - 74°
2y = 106°
y = 106°/2
y = 53°
Hence, the value of y is 53°
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