Question

list the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangles
δklm ~ δtuv

list the pairs of congruent angles.
∠k ≅ ∠
∠l ≅ ∠
∠m ≅ ∠

Explanation:

Step1: Recall Similar Triangles Angle Rule

In similar triangles, corresponding angles are congruent. The order of the vertices in the similarity statement (ΔKLM ~ ΔTUV) gives the correspondence: K corresponds to T, L corresponds to U, M corresponds to V.

Step2: Identify Congruent Angles

• ∠K corresponds to ∠T, so ∠K ≅ ∠T.
• ∠L corresponds to ∠U, so ∠L ≅ ∠U.
• ∠M corresponds to ∠V, so ∠M ≅ ∠V.

Answer:

∠K ≅ ∠T
∠L ≅ ∠U
∠M ≅ ∠V