Answer:
34°
Step-by-step explanation:
1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.
2. (Solving for ∠1)
- [tex]146 + x = 180[/tex]
- [tex]146 + x - 146 = 180 - 146[/tex]
- [tex]x = 34[/tex]
3. Now, since we know ∠1 = ∠7, ∠7 = 34°.
