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A circle is shown. Secant R T and tangent U T intersect at point T outside of the circle to form an angle with a measure of 21 degrees. Secant R T intersects the circle at point S. Arc R U is 119 degrees.
What is mArc S U?

49°
77°
98°
161°

Answer :

amna04352

Answer:

77°

Step-by-step explanation:

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The measure of the arc S U will be 77°. Option B is correct.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

When a secant and a tangent meet at a common point on the outside of a circle, the angle created equals half the difference between the intercepted arcs' measurements.

S×T = 180°-90°-21°

S×T=69°

119 = 111+ ∠R

∠R=∠S=8°

Arc R U IS;

69+8=77°

The measure of the arc S U will be 77°.

Hence, option B is correct.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

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