Question

IN THE FOLLOWING FIGURE,FIND THE ANGLE 2X AND 1/2X​

Answer 1

$\huge\mathfrak{{\fcolorbox{lime}{lime}{Answer~~~↓}}}$

$\small{ }$

$\bold{To~find:}$

The angles 2x and $\bold{{\frac{1}{2}}}$x

$\bold{Here:}$

$\bold{50°+2x+{\frac{1}{2}}x=180°}$ (Straight line)

$\implies\bold{50°+{\frac{4+1}{2}}x=180°}$

$\implies\bold{50°+{\frac{5}{2}}x=180°}$

$\implies\bold{{\frac{5}{2}}x=180°-50°}$

$\implies\bold{{\frac{5}{2}}x=130°}$

$\implies\bold{5x=2×130°}$

$\implies\bold{5x=260°}$

$\implies\bold{x={\frac{260}{5}}}$

$\implies\bold{x={\underline{\underline{52}}}}$

$\therefore\bold{Required~angles:}$

2x = 2 × 52 = 104°

$\bold{{\frac{1}{2}}}$x= $\bold{{\frac{1}{2}}×52}$ = 26°

$\small{ }$

$\huge\mathrm\green{Hope~it~helps..!!}$

Answer 2

$\huge\mathbb\color{plum}{Refer\: Attachment}$