[tex]\huge\bold{Given :}[/tex]
Angle GFH = 53°
Angle FHG = 45°
Angle FGA = [tex]x°[/tex]
[tex]\huge\bold{To\:find :}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {\:x°\:=\: 98°}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
An exterior angle of a triangle is equal to sum of two opposite interior angles.
And so we have,
∠ FGA = ∠ GFH + ∠ FHG
➪ [tex]x°[/tex] = 53° + 45°
➪ [tex]x°[/tex] = 98°
Therefore, the value of [tex]x[/tex] is 98°.
(Note: Kindly refer to the attached file.)
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]
