The postulate that proves that the triangles are congruent is: SAS congruence postulate.
How to Apply the Side-angle-side Congruence Postulate (SAS)?
The SAS congruence postulate states that when two triangles have a pair of included congruent angles, and two pairs of corresponding sides that are congruent, then both triangles are congruent.
In the triangles given, we have:
Two pairs of corresponding sides that are congruent - BL ≅ PF and BG ≅ PX
A pair of included congruent angles - <B ≅ <P.
This means both triangles are congruent by SAS.
Therefore, the postulate that proves that the triangles are congruent is: SAS congruence postulate.
Learn more about the SAS congruence postulate on:
https://brainly.com/question/19262620
#SPJ1
