Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. [Homework Help Link] Use your knowledge of angle pair relationships to write an equation and solve for \( x \) in the diagrams below. Then calculate the measures of the labeled angles. **a.** Diagram: Two parallel lines are intersected by a transversal, creating two angles. The angles are labeled as: - \( 5x + 7 \) - \( 9x - 63 \) Diamond Problem: Top: 13 Left: (blank) Right: (blank) Bottom: 4 **b.** Diagram: Two intersecting lines creating vertical angles. The angles are labeled as: - \( 5x - 21 \) - \( 2x + 18 \) Diamond Problem: Top: 5 Left: (blank) Right: (blank) Bottom: −1 **c.** Diamond Problem: Top: 5 Left: (blank) Right: (blank) Bottom: 10 Make use of the diagrams and diamond problems to practice solving for \( x \) and calculating angle measures.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right.

[Homework Help Link]

Use your knowledge of angle pair relationships to write an equation and solve for \( x \) in the diagrams below. Then calculate the measures of the labeled angles.

**a.**

Diagram: 
Two parallel lines are intersected by a transversal, creating two angles. The angles are labeled as:
- \( 5x + 7 \)
- \( 9x - 63 \)

Diamond Problem:

Top: 13
Left: (blank)
Right: (blank)
Bottom: 4

**b.**

Diagram:
Two intersecting lines creating vertical angles. The angles are labeled as:
- \( 5x - 21 \)
- \( 2x + 18 \)

Diamond Problem:

Top: 5
Left: (blank)
Right: (blank)
Bottom: −1

**c.**

Diamond Problem:

Top: 5
Left: (blank)
Right: (blank)
Bottom: 10

Make use of the diagrams and diamond problems to practice solving for \( x \) and calculating angle measures.
Transcribed Image Text:Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. [Homework Help Link] Use your knowledge of angle pair relationships to write an equation and solve for \( x \) in the diagrams below. Then calculate the measures of the labeled angles. **a.** Diagram: Two parallel lines are intersected by a transversal, creating two angles. The angles are labeled as: - \( 5x + 7 \) - \( 9x - 63 \) Diamond Problem: Top: 13 Left: (blank) Right: (blank) Bottom: 4 **b.** Diagram: Two intersecting lines creating vertical angles. The angles are labeled as: - \( 5x - 21 \) - \( 2x + 18 \) Diamond Problem: Top: 5 Left: (blank) Right: (blank) Bottom: −1 **c.** Diamond Problem: Top: 5 Left: (blank) Right: (blank) Bottom: 10 Make use of the diagrams and diamond problems to practice solving for \( x \) and calculating angle measures.
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