using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of ![\angle A](/tpl/images/0654/7522/70ec7.png)
To prove: ![\angle L=\angle S](/tpl/images/0654/7522/3f2d4.png)
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects
, ![\angle LAT=\angle SAT\\](/tpl/images/0654/7522/5a34f.png)
AT = AT (common side)
So,
( by SAS congruence rule )
Here, SAS denotes side-angle-side
(using corresponding parts of congruent triangles)
Hence proved