Question

1. select 2 that apply.

name two adjacent angles. __ and __
□ ∠7
□ ∠1
□ ∠5
□ ∠9
diagram with angle labels and measures (90°, 30°, 150°) included

Explanation:

Adjacent angles share a common side and vertex. ∠1 and ∠5 share a common vertex and side (the horizontal line), and ∠7 and ∠9 share a common vertex and side (the transversal line). Let's check ∠1 and ∠5: they are adjacent as they meet at the vertex, share a side. Similarly, ∠7 and ∠9 are adjacent (vertical angles' adjacent pairs? Wait, ∠7 and ∠9: ∠7 and ∠6 are adjacent, ∠6 and ∠9? Wait, no, ∠7 and ∠9: the transversal line, ∠7 and ∠8 are vertical, ∠8 and ∠9 are adjacent? Wait, maybe ∠1 and ∠5: ∠1 has 60°, ∠5 has 30°, they share the vertex and a side (the horizontal ray). Alternatively, ∠7 and ∠9: ∠7 and ∠6 are adjacent, ∠6 and ∠9: no, ∠7 and ∠9: the two angles formed by the transversal and the horizontal line, ∠7 and ∠9 share the vertex and the transversal? Wait, maybe the correct pair is ∠1 and ∠5, or ∠7 and ∠9. Let's confirm: adjacent angles must have a common side and common vertex, no overlapping. ∠1 and ∠5: common vertex (the intersection point), common side (the horizontal ray), so they are adjacent. ∠7 and ∠9: common vertex, common side (the transversal line), so they are adjacent. So two possible pairs: ∠1 and ∠5, or ∠7 and ∠9.

Answer:

∠1 and ∠5 (or ∠7 and ∠9, either pair is correct as they are adjacent)