Thank you for visiting Circle P is shown Line segments PT PU PR and PQ are radii Line segments TS and SU are secants Angle TSU is 120 degrees. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
A central angle of circle P is angle TPQ.
The measure of RU is 59 degrees.
What is an arc?
In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value. Generally speaking, the degree measure of an arc in a circle is always equal to the central angle that is present in the included arc.
Based on the information provided about Circle P, we can logically deduce that m∠TPU and m∠UPR are supplementary angles:
m∠TPU + m∠UPR = 180°
m∠TPU = 180° - 59°
m∠TPU = 121°.
m∠TPQ + m∠QPR = 180°
m∠QPR = 180° - 107°
m∠QPR = 73°.
Therefore, the central angle of circle P is m∠TPQ and the measure of arc RU is equals to 59 degrees.
Read more on arcs here: https://brainly.com/question/21827855
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