A tangent to a circle is a line intersecting the circle at exactly one point. Can you prove that the line from the center of the circle to the point of tangency is perpendicular to the tangent line?

Given the two lines tangent to circle \(M,\) what is the measure of \(\angle POM + \angle PAM ?\)

NOTE: You may assume the lines are perpendicular.

What is the value of \(p?\)

What is the radius of circle \(Q?\)

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