Question

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answer 1

`\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}`

• ∠RSU and ∠USV are complementary angles
• ∠RSU = (4x – 15)°
• ∠USV = 20°

`\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}`

• The value of x

`\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}`

• ∠RSU and ∠USV are complementary angles

`\sf\implies{ \angle RSU + \angle USV = 90 \degree }`

`\sf\implies{ (4x-15) + 20 = 90 }`

`\sf\implies{ 4x-15+20=90}`

`\sf\implies{4x+5=90}`

`\sf\implies{4x=90-5}`

`\sf\implies{4x=85}`

`\sf\implies{x={(85)/(4)}}`

`\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}`

`\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}`

• 
  `\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}`