Answer:
The Congruent angles are
∴ ∠LAM ≅ ∠LBM ........CPCTC
∠LMA ≅ ∠LMB .........CPCTC
Explanation:
Given:
∆ALM ≅ ∆BLM by Side-Angle-Side (SAS)
To Find:
Which angles are congruent by CPCTC. = ?
Solution:
In ΔALM and ΔBLM
AL ≅ BL ……….{Given}
∠ALM ≅ ∠BLM …………..{Given}
LM ≅ LM ……….{Reflexive Property}
ΔALM ≅ ΔBLM ….{Side-Angle-Side test}
If two triangles are congruent then corresponding angles are congruent by Corresponding Parts of Congruent Triangles are Congruent.
The Congruent angles are
∴ ∠LAM ≅ ∠LBM ........CPCTC
∠LMA ≅ ∠LMB .........CPCTC