name the marked angle in 2 different ways.\nanswer attempt 1 out of 2

Explanation:

Step1: Identify the vertex and sides

The marked angle has vertex B, and its sides are BE and BC (or BD and BE, but more precisely, the two segments forming the angle are BE and BC, or considering the vertex and two points). So one way is to name it using the vertex and the two points on the sides, like ∠EBC. Another way is using just the vertex if there's only one angle at that vertex (here, the marked angle at B between BE and BC, so also ∠B). Wait, but actually, at point B, there are other angles, but the marked one is between BE and BC, or between B's two segments. Wait, the angle is at B, with one side going to E and the other to C, or also, the vertex is B, so ∠B (if we consider the angle at B for that specific marked angle) or ∠EBC. Wait, let's check: the angle is formed by points E, B, C? Wait, no, the angle is at B, with segments BE and BC. So first way: ∠EBC (using three points, with B as the middle). Second way: ∠B (using the vertex, since the marked angle is at B, and if we can identify it uniquely, though sometimes ∠B might be ambiguous, but in this case, the marked angle is the one at B between BE and BC, so ∠B and ∠EBC. Wait, or maybe ∠EBC and ∠CBE, but no, the order matters. Wait, the standard ways: 1. Using three letters, with the vertex in the middle: ∠EBC (since E - B - C, with B as vertex). 2. Using the vertex letter: ∠B (if there's only one angle at B, but here, at B, there's also angle DBE, but the marked one is EBC. Wait, maybe the first is ∠EBC, the second is ∠B (but maybe the problem allows ∠B and ∠EBC). Wait, let's confirm: the angle is at B, between BE and BC. So:

First way: ∠EBC (three points: E, B, C, with B as vertex).

Second way: ∠B (using the vertex, as the marked angle is at B, and maybe in the diagram, that's the only angle marked, so ∠B is acceptable).

Step2: Write the two names

So the two ways are ∠EBC and ∠B (or also ∠CBE, but ∠EBC is more standard with the middle letter as vertex). Wait, actually, the angle can be named as ∠EBC (with E and C as the points on the sides, B as vertex) and ∠B (using the vertex). Alternatively, ∠EBC and ∠CBE, but ∠EBC is correct with B in the middle.

Answer:

∠EBC, ∠B