[tex]\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}[/tex]
- ∠RSU and ∠USV are complementary angles
- ∠RSU = (4x – 15)°
- ∠USV = 20°
[tex]\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
- ∠RSU and ∠USV are complementary angles
[tex]\sf\implies{ \angle RSU + \angle USV = 90 \degree }[/tex]
[tex]\sf\implies{ (4x-15) + 20 = 90 }[/tex]
[tex]\sf\implies{ 4x-15+20=90}[/tex]
[tex]\sf\implies{4x+5=90}[/tex]
[tex]\sf\implies{4x=90-5}[/tex]
[tex]\sf\implies{4x=85}[/tex]
[tex]\sf\implies{x={\dfrac{85}{4}}}[/tex]
[tex]\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}[/tex]
[tex]\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}[/tex]
- [tex]\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}[/tex]
