Question

use the figure to complete each part.
(a) write two other names for $angle 1$.
$square$ and $square$
(b) name the sides of $angle 2$.
$square$ and $square$
(c) name the vertex of $angle dbc$.
$square$

Explanation:

(a) An angle can be named by its vertex alone (when no other angles share the vertex) or by three points with the vertex in the middle. ∠1 has vertex B, so it can be ∠ABC or ∠B.
(b) The sides of an angle are the two rays forming it. ∠2 is formed by rays starting at B: $\overrightarrow{BC}$ and $\overrightarrow{BD}$.
(c) The vertex of an angle named ∠DBC is the middle letter, which is B.

Answer:

(a) $\angle ABC$ and $\angle B$
(b) $\overrightarrow{BC}$ and $\overrightarrow{BD}$
(c) $B$