The measure of angle x is 46°
What is a tangent?
A tangent is any straight line that touches a circle at any given point.
Analysis:
The tangent meets the radius of a circle at 90°
Also, the bisector of angle x also bisects the angle at the center.
This forms two right angle triangles °with angles x/2, 90 and 67 apiece.
taking one of the triangles, we have,
x/2 + 90 + 67 = 180
multiplying through by 2
x + 180 + 134 = 360
x + 314 = 360
x = 360 - 314 = 46°
in conclusion, the measured angle x is 46°
Learn more about tangents of a circle: brainly.com/question/20521999
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