Question

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

• A. ${60}^{\circ }$
• B. ${150}^{\circ }$
• C. ${180}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

The correct option is B ${150}^{\circ }$

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
$6y-3x$
$=6\left(40\right)-3\left(30\right)$
$={240}^{\circ }-{90}^{\circ }$
$={150}^{\circ }$