Answer:
- see attached
- ∠SPT = (arc ST +arc MN)/2
Explanation:
1.
Circle R is a circle whose center point is R.
a) Secant ST will be a line that intersects the circle in two points and has points on it labeled S and T. Either of those points may lie inside, outside, or on the circle.
b) Tangent LP will be a line that intersects the circle at one point. That point of intersection may or may not be labeled L or P, but points L and P are labeled points on that line. One such diagram is attached.
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2.
The angle where chords cross is the average of the two arcs intercepted by those chords:
∠SPT = (arc ST +arc MN)/2
