Question

use the picture to name three angles. o a) ∠stv, ∠vtw, ∠utw o b) ∠stu, ∠vtw, ∠tus o c) ∠vtx, ∠swu, ∠tuw o d) ∠stw, ∠stu, ∠tuw

Explanation:

To name angles, we use the vertex and two points on the rays forming the angle. From the diagram (with points S, T, U, W), we analyze each option:

• Option A: ∠STV (V not visible), ∠VTW (V not visible), ∠UTW – invalid as V is not a labeled point in the given diagram (points are S, T, U, W).
• Option B: ∠STU (formed by S - T - U), ∠VTW (V not visible), ∠TUS – invalid due to V.
• Option C: ∠VTX (V, X not visible), ∠SWU (S - W - U), ∠TUW (T - U - W) – invalid due to V, X.
• Option D: ∠STW (S - T - W), ∠STU (S - T - U), ∠TUW (T - U - W) – all use labeled points (S, T, U, W) to form angles, matching the diagram's points.

Answer:

D. ∠STW, ∠STU, ∠TUW