Question

in the given figure find the value of x....
please help urgent irrelevant will be reported...​

Answer 1

$\huge \star{ \red{ \sf{answer}}}$

In the given figure

$4x + 2x = 180 \: (because \: straight \: line \: angle) \\ 6x = 180 \\ x = 30$

Therefore X = 30 °

Answer 2

$\huge \fbox{Answer:}$

$\large \underline {\underline {\red{\frak{Given::}}}}$

$\rightarrow \sf{∠AOC = 4x}$

$\rightarrow \sf{∠BOC = 2x}$

$\large \underline {\underline {\red{\frak{Property \: required::}}}}$

${ \mapsto \sf{∠AOC+∠BOC = 180° \: \: \: \: (Linear pair )}}$

$\large \underline {\underline {\red{\frak{According \: to \: Question::}}}}$

${ \implies \sf{∠AOC+∠BOC \: \: \: \: (Linear pair )}}$

$\sf {\implies{4x + 2x = 180° }}$

$\sf {\implies{6x = 180° }}$

$\sf {\implies{x = \frac{180°}{6} }}$

$\sf {\implies{x = \cancel\frac{180°}{6} = 30° }}$

$\sf {\implies{ ∠AOC= 4x = 30° \times 4 = 120 ° }}$

$\sf {\implies{∠BOC = 2x = 30° \times 2= 60 ° }}$