[tex]\huge\bold{Given :}[/tex]
Angle 4 = 98°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle 3.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]
➪ ∠ 3 + ∠ 4 = 180°
➪ ∠ 3 + 98° = 180°
➪ ∠ 3 = 180° - 98°
➪ ∠ 3 = 82°
Therefore, the measure of ∠ 3 is 82°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ 3+ ∠ 4 = 180°
✒ 82° + 98° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
