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Answer:

Step-by-step explanation:

The angle measure is half the measure of the arc it intercepts. That means that if angle STU is 48 degrees, then the arc is 48 * 2 = 96 degrees.

The value of ST is 96 degrees

what is tangent?

In geometry, a tangent is the line drawn from an external point and passes through a point on the curve. One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

The tangent has two important properties:

  • A tangent touches a curve at only one point.
  • A tangent is a line that never enters the circle’s interior.
  • The tangent touches the circle’s radius at the point of tangency at a right angle.
  • The tangent at any point of a circle is perpendicular to the radius through the point of contact.

As, The angle measure is half the measure of the arc it intercepts.

So,  <STU = 48 degrees,

then the arc = 48 * 2

= 96 degrees.

Learn more about tangent here:

https://brainly.com/question/19424752

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