5. Given line LM tangent to Circle C at point L, write an expression to represent the measure of arc JK. * K b M.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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### Question

**5. Given line LM tangent to Circle C at point L, write an expression to represent the measure of arc JK.**

#### Diagram Explanation:

In the provided diagram, we have:

- **Circle C** with center labeled as **C**.
- A tangent line **LM** touching the circle at point **L**.
- Points **J** and **K** are on the circumference of the circle, with arc JK subtended between them.
- Angle **a°** is the arc subtended by chord **JK** inside the circle.
- Angle **b°** is the angle between line segments **LK** and **KM** (with **L** being the tangent point).

### Answer Section:

*(An answer input box is provided for users to input their answers.)*

---
Educational Objective: This question tests the understanding of circle theorems, specifically tangent and chord properties, as well as the ability to translate geometric figures and relationships into algebraic expressions.
Transcribed Image Text:### Question **5. Given line LM tangent to Circle C at point L, write an expression to represent the measure of arc JK.** #### Diagram Explanation: In the provided diagram, we have: - **Circle C** with center labeled as **C**. - A tangent line **LM** touching the circle at point **L**. - Points **J** and **K** are on the circumference of the circle, with arc JK subtended between them. - Angle **a°** is the arc subtended by chord **JK** inside the circle. - Angle **b°** is the angle between line segments **LK** and **KM** (with **L** being the tangent point). ### Answer Section: *(An answer input box is provided for users to input their answers.)* --- Educational Objective: This question tests the understanding of circle theorems, specifically tangent and chord properties, as well as the ability to translate geometric figures and relationships into algebraic expressions.
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