[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x=12° }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°
➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°
➪ 7[tex]x[/tex] + 96° = 180°
➪ 7[tex]x[/tex] = 180° - 96°
➪ 7[tex]x[/tex] = 84°
➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]
➪ [tex]x[/tex] = 12°
Therefore, the value of [tex]x[/tex] is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
