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Exploring Tangents and Angles in Circle Geometry

This resource delves into the relationships between angles and arcs in circles, particularly focusing on tangents. It includes examples where a tangent line interacts with a circle, providing specific angle measures and arc lengths. Through practical problems, students learn to determine various angle measures using the tangent properties, such as angle relationships and arc measures. The exercises encourage critical thinking and geometry practice, reinforcing knowledge about circles, tangents, and angles, ensuring a solid grasp of these essential geometric concepts.

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Exploring Tangents and Angles in Circle Geometry

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  1. 9-6 Other Angles Thrm 9-9 9-10 and examples

  2. Examples EF is tangent to the circle A Measure of arc GB is 110 degrees Angle E is 30 degrees Measure of arc HCF is 100 degrees m(arc)BF = M<FDH= M< GDH= m(arc) GH If m(arc) GF = 105, then if Line GE Was a tangent, what would angle GEF be?

  3. Example Answers 40 degrees 105 degrees 75 degrees 110 degrees 75 degrees

  4. BC is tangent to circle A M(Arc) FG = 30 degrees Find all 8 angles of the circle Given.

  5. BC is tangent to circle A M(Arc) FG = 30 degrees Find all 8 angles of the circle Given. 80 100 27.5 117.5 62.5 35 90 62.5

  6. Written Exercises 1 – 10 pg 359

  7. Written Exercises 1 – 10 pg 359 90 90 25 65 55 125 35 60 90 60

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