Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.
Side-Side-Side Postulate
According to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.
Congruent triangles have the same shape as well as the same size.
[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]
This implies [tex]PM,PN[/tex] are same in length.
[tex]17x-8=11x+4[/tex]
[tex]6x=12[/tex]
[tex]x=2[/tex]
So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].
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