1. **Identify which figure represents an angle.** - (a) → is a ray, not an angle. - (b) ∧ looks like two rays coming together but without a vertex, it's not a symbol for an angle. - (c) ∠ is the symbol that represents an angle. - (d) Two parallel rays upward do not form an angle between them. **Answer:** (c) ∠ represents an angle. 2. **Name each angle in two ways:** (a) Given points: B → A, → C. - The vertex is point A because both rays meet at A. - Two ways to name the angle: 1. ∠BAC 2. ∠CAB (b) Given points: L ∠ 4 M → N. - The angle is at point M, between L4 and MN (assuming 4 is a point or label at the vertex). - Two ways to name the angle: 1. ∠L4M 2. ∠4MN (c) Given points: X ← Y, Z ↓. - The vertex is Y (rays point to and from Y). - Two ways to name the angle: 1. ∠XYZ 2. ∠ZYX 3. **Name vertices and arms of given angles:** (a) E → D, → F - Vertex: D - Arms: ray DE, ray DF (b) P ∧ R, S - Vertex: R - Arms: rays RP and RS (c) X ← Y, Z → - Vertex: Y - Arms: ray YX, ray YZ (d) M ↑ P → O - Vertex: P - Arms: ray PM, ray PO (e) L → M → N - Vertex: M - Arms: ray ML, ray MN (f) Q → P, R ↓ - Vertex: P - Arms: ray PQ, ray PR 4. **Angles in each figure and name them:** (a) Four rays starting from one point like a star - Number of angles: 6 (each pair of adjacent rays forms an angle) - Named by the vertex O and pairs of rays, e.g., ∠AOB, ∠BOC, ∠COD, ∠DOE, ∠EOF, ∠FOA (assuming rays named A, B, C, D) (b) Two crossing lines forming an X - Number of angles formed: 4 - Named by the points where lines cross, e.g., ∠AOB, ∠BOC, ∠COD, ∠DOA (c) Two separated rays forming an angle - Number of angles: 1 - Named by the vertex and rays, e.g., ∠XYZ 5. **Mark points R, S, T not collinear, draw ∠RST and name:** - Vertex: S - Arms: ray SR and ray ST - Angle: ∠RST or ∠TSR 6. **Drawing angles: Since drawings cannot be created here, the instructions to draw each angle are:** (a) ∠DEF: Draw rays DE and DF meeting at E (b) ∠POQ: Draw rays PO and QO meeting at O (c) ∠UVW: Draw rays UV and UW meeting at V (d) ∠3: Draw the angle labeled 3 on the provided figure (e) ∠4: Draw the angle labeled 4 on the provided figure **Summary:** The key skill is identifying vertices as the point where rays or lines meet and naming angles by three points with the vertex in the middle.