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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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 40CT: To determine the angle of elevation of a star in the sky, you align the star and the top of the...
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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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