Help with 7 & 8? ### Exercises 7–12**Instructions:**Use the figure provided to answer exercises 7–12.**Figure Description:**The figure consists of two parallel lines, labeled $ l $ and $ m $, with a transversal intersecting them creating several angles. The angles are numbered from 1 to 7.**Exercise Statements:**Determine whether each statement is true or false. If true, explain why.7. $ \angle 4 = \angle 2 + \angle 6 $8. $ \angle 3 = \angle 2 + \angle 5 $9. $ \angle 1 + \angle 2 + \angle 6 = 180^\circ $10. $ \angle 4 + \angle 1 = 180^\circ $11. $ \angle 2 + \angle 6 = 180^\circ $12. $ \angle 7 = \angle 1 + \angle 2 $**Explanation of the Diagram:**The diagram shows angles formed by a transversal intersecting two parallel lines $ l $ and $ m $. The angles are created at the intersections and are labeled with numbers for reference in the exercises. Consider properties of parallel lines and transversals, such as alternate interior angles, corresponding angles, and the sum of angles on a straight line, to determine the truth of the statements.

Name: Help with 7 & 8? ### Exercises 7–12**Instructions:**Use the figure pro
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Description: Help with 7 & 8? ### Exercises 7–12**Instructions:**Use the figure provided to answer exercises 7–12.**Figure Description:**The figure consists of two parallel lines, labeled $ l $ and $ m $, with a transversal intersecting them creating several

Given : 7) ∠4=∠2+∠6 8) ∠3=∠2+∠57) According to the triangle properties An exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore we can see in the given figure that exterior angle ∠4 is equal to the sum of opposite interior angles i.e. ∠4= ∠2+∠6 Hence the statement is true. 8) Here exterior angle is not equal to the sum of the opposite interior angles. The right answer should be ∠3=∠5+∠6 But here it is given ∠3=∠2+∠5, which is false. Hence the statement is false.

Answered: se the following figure for Exercises…

Math

Geometry

se the following figure for Exercises 7–12. 1 2. 4/5 6 7 m If I || m, determine whether each statement is true or false. If true, explain why. 7. 24 = 2 + Z6 8. 23 22 + 25 9. /1 + /2 + /6 = 180°

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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Question

Help with 7 & 8?

### Exercises 7–12

**Instructions:**
Use the figure provided to answer exercises 7–12.

**Figure Description:**
The figure consists of two parallel lines, labeled $ l $ and $ m $, with a transversal intersecting them creating several angles. The angles are numbered from 1 to 7.

**Exercise Statements:**
Determine whether each statement is true or false. If true, explain why.

7. $ \angle 4 = \angle 2 + \angle 6 $

8. $ \angle 3 = \angle 2 + \angle 5 $

9. $ \angle 1 + \angle 2 + \angle 6 = 180^\circ $

10. $ \angle 4 + \angle 1 = 180^\circ $

11. $ \angle 2 + \angle 6 = 180^\circ $

12. $ \angle 7 = \angle 1 + \angle 2 $

**Explanation of the Diagram:**
The diagram shows angles formed by a transversal intersecting two parallel lines $ l $ and $ m $. The angles are created at the intersections and are labeled with numbers for reference in the exercises. Consider properties of parallel lines and transversals, such as alternate interior angles, corresponding angles, and the sum of angles on a straight line, to determine the truth of the statements.

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