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

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

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

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

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

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

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

$\sf\implies{x={\dfrac{85}{4}}}$

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

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

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