Question

In the figure below, $x={30}^{\circ }$. The value of $(6y–3x)$ is ___.

Answer 1

Given, $x={30}^{\circ }$,
So, $2x={60}^{\circ }$

Also, $2x+3y={180}^{\circ }$ (linear pair)

Replacing $x$ in the above equation,
${60}^{\circ }+3y={180}^{\circ }$

$3y={120}^{\circ }$

$y={40}^{\circ }$

The value of

$(6y-3x)={150}^{\circ }$