1pts
question 3
asjx - a
lpx
lxp
xlp
no similar triangles here

Δ SJX  ~  Δ LXP

ΔSJX ~ ΔLXP    ….{Angle-Angle Similarity Postulate}  

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  

∠XSJ ≅ ∠XLP          …………..{ measure of each angle is 73° given }  

∠SXJ ≅ ∠LPX = 54° ……….....{From  ( 1 ) above}  

ΔSJX ~ ΔLXP      ….{Angle-Angle Similarity Postulate}  ..Proved

c

step-by-step explanation: