# Lesson 14

Alternate Interior Angles

### Problem 1

Use the diagram to find the measure of each angle.

- \(m\angle ABC\)
- \(m\angle EBD\)
- \(m\angle ABE\)

### Solution

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(From Unit 1, Lesson 9.)### Problem 2

Lines \(k\) and \(\ell\) are parallel, and the measure of angle \(ABC\) is 19 degrees.

- Explain why the measure of angle \(ECF\) is 19 degrees. If you get stuck, consider translating line \(\ell\) by moving \(B\) to \(C\).
- What is the measure of angle \(BCD\)? Explain.

### Solution

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### Problem 3

The diagram shows three lines with some marked angle measures.

Find the missing angle measures marked with question marks.

### Solution

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### Problem 4

Lines \(s\) and \(t\) are parallel. Find the value of \(x\).

### Solution

### Problem 5

The two figures are scaled copies of each other.

- What is the scale factor that takes Figure 1 to Figure 2?
- What is the scale factor that takes Figure 2 to Figure 1?