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P. Line l is tangent to circle Q. What is the measure of the angle formed at the point of tangency? 180 degrees 90 degrees 45 degrees 100 degrees

P. Line l is tangent to circle Q. What is the measure of the angle formed at the point of tangency? 180 degrees 90 degrees 45 degrees 100 degrees

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Circle and Tangent Line Geometry Problem** --- **Question:** Given a circle Q with a tangent line l at point P, what is the measure of the angle formed at the point of tangency? **Options:** - A) 180 degrees - B) 90 degrees - C) 45 degrees - D) 100 degrees --- **Explanation of Diagram:** The diagram illustrates a circle labeled Q with a tangent line (l) touching the circle at point P. The radius of the circle from its center to point P is drawn, forming a right angle with the tangent line at point P. --- **Answer:** The correct answer is B) 90 degrees. When a line is tangent to a circle, it forms a right angle (90 degrees) with the radius at the point of tangency.
Transcribed Image Text:**Circle and Tangent Line Geometry Problem** --- **Question:** Given a circle Q with a tangent line l at point P, what is the measure of the angle formed at the point of tangency? **Options:** - A) 180 degrees - B) 90 degrees - C) 45 degrees - D) 100 degrees --- **Explanation of Diagram:** The diagram illustrates a circle labeled Q with a tangent line (l) touching the circle at point P. The radius of the circle from its center to point P is drawn, forming a right angle with the tangent line at point P. --- **Answer:** The correct answer is B) 90 degrees. When a line is tangent to a circle, it forms a right angle (90 degrees) with the radius at the point of tangency.
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