Alternate Interior Angles
Let’s explore why some angles are always equal.
Use the diagram to find the measure of each angle.
- \(m\angle ABC\)
- \(m\angle EBD\)
- \(m\angle ABE\)
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.
The diagram shows three lines with some marked angle measures.
Find the missing angle measures marked with question marks.
Lines \(s\) and \(t\) are parallel. Find the value of \(x\).
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?