Question

1. select 2 that apply.

which two angles are adjacent? __ and __
□ ∠abc
□ ∠dbc
□ ∠efg
□ ∠bfh

Explanation:

To determine adjacent angles, we use the definition: adjacent angles share a common vertex and a common side, and their non - common sides are on opposite sides of the common side.

Step 1: Analyze ∠ABC and ∠DBC

• The vertex of both ∠ABC and ∠DBC is point B.
• They share the common side BC.
• The non - common sides (BA for ∠ABC and BD for ∠DBC) are on opposite sides of BC. So, ∠ABC and ∠DBC are adjacent.

Step 2: Analyze other pairs

• For ∠EFG and ∠BFH: The vertex of ∠EFG is F, and the vertex of ∠BFH is also F. But the sides of ∠EFG are FE and FG, and the sides of ∠BFH are FB and FH. They do not share a common side in a way that satisfies the adjacent angle definition. Also, ∠EFG and ∠ABC/∠DBC have different vertices, so they are not adjacent.

Answer:

$\angle ABC$ and $\angle DBC$