Rst is circumscribed about circle a

ST, RS, and RT

Step-by-step explanation:

A line is tangent to a circle if it intersects it at only one point.

ST, RS, and RT are all tangent to circle A.

AP intersects the circle at two points when extended.

XT intersects the circle at two points as well.

A.

B.

D.

Step-by-step explanation:

We have been given that triangle RST is circumscribed about circle A. We are asked to choose that tangent of our given circle fro the provided choices.

We know that tangent of circle is a straight line that touches the circle exactly at one point. This point is known as point of tangency.

Upon looking at our given diagram, we can see that line segment RX touches circle A exactly at one point that is X. Line segment SX touches circle A exactly at one point that is X, therefore, line segment RS is tangent to our given circle.

Similarly, line segments SQ and TQ touch circle A exactly at one point that is Q, therefore, line segment ST is tangent to our given circle.

We can see that line segments RP and TP touch circle A exactly at one point that is P, therefore, line segment ST is tangent to our given circle.

AP is radius of circle, therefore, AP is not a tangent for our given circle.

If we draw a line joining points XT, it will intersect circle at two points, therefore, XT is not a tangent for our given circle.

3

140-3= so she gave away 3