Δ SJX  ~  Δ LXP
ΔSJX ~ ΔLXP   ….{Angle-Angle Similarity Postulate} Â
Step-by-step explanation:
Given:
∠XSJ ≅ ∠XLP = 73°
∠SXJ = 54°
∠LXP = 53°
To Prove:
ΔSJX ~ ΔLXP
Proof:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
In ΔLPX,
∴ ∠SXJ ≅ ∠LPX = 54°  ..........Transitive Property ..( 1 )
In Δ SJX and Δ LXP Â
∠XSJ ≅ ∠XLP      …………..{ measure of each angle is 73° given } Â
∠SXJ ≅ ∠LPX = 54° ……….....{From  ( 1 ) above} Â
ΔSJX ~ ΔLXP    ….{Angle-Angle Similarity Postulate}  ..Proved